Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras | Paper Citation Record

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This paper cites A lattice of von Neumann algebras associated w ith the quantum theory of a free Bose ﬁeld.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras A lattice of von Neumann algebras associated w ith the quantum theory of a free Bose ﬁeld

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Type of von Neumann algebra associated with fr ee ﬁeld

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Von Neumann algebras of local observables for free scalar ﬁeld

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Expansional in Banach algebras

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This paper cites Golden-Thompson and Peierls-Bogolubov ineq ualities for a general von Neu- mann algebra.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Golden-Thompson and Peierls-Bogolubov ineq ualities for a general von Neu- mann algebra

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative Hamiltonian for faithful normal sta tes of a von Neumann algebra

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This paper cites On the equivalence of the KMS condition and the variational principle for quantum lattice systems.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On the equivalence of the KMS condition and the variational principle for quantum lattice systems

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This paper cites Some properties of modular conjugation opera tor of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain ru le.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Some properties of modular conjugation opera tor of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain ru le

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This paper cites On uniqueness of KMS states of one-dimensiona l quantum lattice systems.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On uniqueness of KMS states of one-dimensiona l quantum lattice systems

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entropy of states of von Neumann alg ebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entropy of states of von Neumann alg ebras II

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Mathematical Theory of Quantum Fields

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Positive cones and Lp-spaces for von Neumann algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras KMS conditions and local the rmodynamical stability of quantum lattice systems

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras A classiﬁcation of factors

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Elements of Operator Algebras and Modular Th eory

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras C ∗-algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Matr ix inequalities in statistical mechanics

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This paper cites and Greville, T.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Greville, T

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Löfström, J

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Matrix Analysis

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Hilbert von Neumann modules

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Brüning, E

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras A variation principle in the problem of many bodies

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On revolutionizing quantum ﬁeld theo ry with Tomita’s modular theory

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Rela tive entropy of coherent states on general CCR algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On the mass d ependence of the modular operator for a double cone

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Robinson, D

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Robinson, D

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Note on trace inequa lities

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Algebraic quantum field theory: objectives, methods, and results

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Trace inequalities and quantum entropy. An introductory course

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entropy and the Bekenstein bound

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entr opy for coherent states from Araki formula

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Recovering the QNEC from th e ANEC

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Some assorted inequalities for positive l inear maps on C ∗-algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relat ive entropy and curved spacetimes

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras The information in a wave

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Caractérisation des espaces vectoriels or donnés sous-jacents aux algèbres de von Neumann

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On the spatial theory of von Neumann algebra s

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Noncommutative Geometry

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras An operational approach t o quantum probability

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Partiti oning a macroscopic system into independent subsystems

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Scaling law for the size dependence of a ﬁnite-range quantum gas

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Perturb ation theory of W ∗-dynamics, Liou- villeans and KMS-states

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Von Neumann Algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On the relative entropy

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Free energy and the relative entropy

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Further results on the relative entropy

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative Hamiltonians which are not boun ded from above

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Statistische Physik

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This paper cites Second law of thermodynamics for relativistic ﬂuids formulated with relative entropy.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Second law of thermodynamics for relativistic ﬂuids formulated with relative entropy

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Maß- und Integrationstheorie

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Nagel, R

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Approximate recoverabi lity and relative entropy II: 2- positive channels of general von Neumann algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras A pproximate recovery and relative entropy I: General von Neumann subalgebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Quantum ﬁelds and local mea surements

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Unresolved cited work

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Thermodynamics from rel ative entropy

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This paper cites Analysis 1.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Analysis 1

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Observation 7f5bf028-9fe4-4d0c-892e-853d2d2e975e · outbound

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras An Introduction to Algebraic Quantum Field Theory

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Observation 3b7bbf21-faab-4c04-8347-6e1588b9d479 · outbound

This paper cites Relative en tropy in de Sitter spacetime is a Noether charge.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative en tropy in de Sitter spacetime is a Noether charge

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Observation 8f6efe80-048a-4c13-88af-6851d4ae4ccf · outbound

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entropy o f fermion excitation states on the CAR algebra

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Observation 1344339b-92d8-4ed2-8dfc-9f60b77569fb · outbound

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Classical KMS condi tion and Tomita-Takesaki theory

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On the imbedding of nor med rings into the ring of operators in Hilbert space

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This paper cites Lower bounds for the Helmholtz function.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Lower bounds for the Helmholtz function

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Unresolved cited work

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Observation 521bfe26-d3b9-4786-9b48-7271c4272605 · outbound

This paper cites On the equi librium states in quantum statistical mechanics.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On the equi librium states in quantum statistical mechanics

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Local Quantum Physics

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This paper cites Normal weights on W ∗-algebras.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Normal weights on W ∗-algebras

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Observation 70e33f3c-7ce6-4cca-89bf-8bce1f6f838b · outbound

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras The standard form of von Neumann algebras

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Observation a2d6fbcc-cfbd-4621-947d-e66ef8988a7c · outbound

This paper cites An operator inequality.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras An operator inequality

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Observation 40f72e5d-a01f-48e0-8a0f-64ba5d1da618 · outbound

This paper cites Jensen’s inequality for operators and Löwner’s theorem.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Jensen’s inequality for operators and Löwner’s theorem

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Jensen’s operator inequ ality

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Observation c81429c9-bd5c-489c-9d1f-44f2e5b7b1c1 · outbound

This paper cites Beiträge zur Störungstheorie der Spektralz erleung.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Beiträge zur Störungstheorie der Spektralz erleung

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Observation 5239f45a-3bba-4be5-9a87-17b003874131 · outbound

This paper cites Quantum f -divergences in von Neumann algebras. I. Standard f -divergences.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Quantum f -divergences in von Neumann algebras. I. Standard f -divergences

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Quantum f -divergences in von Neumann algebras. II. Maximal f -divergences

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Observation 3df9a663-bdec-4a6f-9dab-c73149f321bd · outbound

This paper cites Lectures on Selected Topics in von Neumann Algebras.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Lectures on Selected Topics in von Neumann Algebras

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This paper cites Quantum f -Divergences in von Neumann Algebras.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Quantum f -Divergences in von Neumann Algebras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Petz, D

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Observation a0b1a58e-755d-4c44-8fc9-841e5ce641e2 · outbound

This paper cites Relative entropy for coherent states in c hiral CFT.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entropy for coherent states in c hiral CFT

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Variational approach to relative entrop ies with an application to QFT

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This paper cites Trace- and improved data-processing ine qualities for von Neumann alge- bras.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Trace- and improved data-processing ine qualities for von Neumann alge- bras

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras News versus informatio n

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras and Sanders, K

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This paper cites Lectures on Entropy. I: Information-Theor etic Notions.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Lectures on Entropy. I: Information-Theor etic Notions

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Aufbaukurs Funktionalanalysis und Operatortheorie

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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Unresolved cited work

Reference 93

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This paper cites Random Measures, Theory and Applications.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Random Measures, Theory and Applications

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This paper cites Fundamentals of quantum information theory.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Fundamentals of quantum information theory

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Observation 07bdea35-8ca9-4b7a-bbce-e84881665cab · outbound

This paper cites Relative entropy of states: a variational e xpression.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Relative entropy of states: a variational e xpression

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This paper cites General state changes in quantum theory.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras General state changes in quantum theory

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:13.706121Z

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Observation 5211ecd3-c2d4-460e-a59b-26ac30952c1d · outbound

This paper cites Statistical-mechanical theory of irreversi ble processes. I.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Statistical-mechanical theory of irreversi ble processes. I

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:13.696602Z

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Observation aae8ec9b-3025-432c-ae51-e6460ab3cd4c · outbound

This paper cites On information and suﬃc iency.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras On information and suﬃc iency

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:13.686494Z

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Observation 0616ba3d-99a7-49f2-831a-9d1acabf97f7 · outbound

This paper cites Foundations of Quantum Theory.

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras Foundations of Quantum Theory

Reference 100

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