Singular value functions for C\(^*\)-algebras

Fuente: arXiv
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Main Author: Fujitsu, Naoto
Format: Preprint
Published: 2026
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author Fujitsu, Naoto
author_facet Fujitsu, Naoto
contents We introduce \textit{singular value functions} for C\(^*\)-algebras, generalizing the singular values of compact operators on Hilbert spaces. We also establish several fundamental properties of these singular value functions and present examples of singular value functions for certain classes of C\(^*\)-algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2605_17235
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Singular value functions for C\(^*\)-algebras
Fujitsu, Naoto
Functional Analysis
Operator Algebras
Primary 46L51, Secondary 46L05, 47B06
We introduce \textit{singular value functions} for C\(^*\)-algebras, generalizing the singular values of compact operators on Hilbert spaces. We also establish several fundamental properties of these singular value functions and present examples of singular value functions for certain classes of C\(^*\)-algebras.
title Singular value functions for C\(^*\)-algebras
topic Functional Analysis
Operator Algebras
Primary 46L51, Secondary 46L05, 47B06
url https://arxiv.org/abs/2605.17235