Defines real decomposable maps on real operator systems, uncovers a new term in their decomposition that forms a novel class of maps, and verifies real analogs of known results on weak expectation property and injectivity.
Noncommutative Cho quet theory
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
Initiates theory of real nc convex sets with foundational structural results for real operator systems and introduces complexification of nc convex sets.
A general lifting framework called the royal road theorem shows that automatic analyticity, monotonicity, and convexity results in multiple noncommuting variables follow from the one-variable case, with applications to noncommutative Löwner and Kraus theorems over operator systems.
citing papers explorer
-
Real decomposable maps on operator systems
Defines real decomposable maps on real operator systems, uncovers a new term in their decomposition that forms a novel class of maps, and verifies real analogs of known results on weak expectation property and injectivity.
-
Real Non-Commutative Convexity I
Initiates theory of real nc convex sets with foundational structural results for real operator systems and introduces complexification of nc convex sets.