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The functional calculus for regular operators in Hilbert C*-modules revisited

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arxiv funct-an/9706007 v1 pith:NIMMZMF4 submitted 1997-06-20 funct-an math.OA

Johan Kustermans This is my paper · ORCID
classification funct-anmath.OA
keywords hilbertcalculusfunctionalmodulesoperatorsbasicframeworkintroduced
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Woronowicz introduced the functional calculus for normal operators in Hilbert C*-modules. The aim of this paper is to translate, if possible, some basic properties of the functional calculus in Hilbert spaces to the Hilbert C*-module framework.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectral localizers in KK-theory

    math.KT 2025-08 conditional novelty 7.0 of 10

    The index homomorphism of even K-groups from a KK-class is computed by a spectral localizer built from continuous functions of an unbounded Dirac operator.

  2. Fredholm complexes of Hilbert C*-modules

    math.OA 2025-05 conditional novelty 7.0 of 10

    A Fredholm complex of Hilbert C*-modules has a K0(A)-valued index, stable under small and relatively compact perturbations and computable via Hodge decompositions.

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