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

Abstract

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.

LaTeX, 63 pages

References in corpus (1)

• One-parameter representations on C*-algebras

Cited by in corpus (5)

• Weight theory for C*-algebraic quantum groups
• Adjointability of densely defined closed operators and the Magajna-Schweizer Theorem
• Generalized inverses and polar decomposition of unbounded regular operators on Hilbert $C^{\ast }$-modules
• Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature
• Normality of adjointable module maps