Singular value functions for C\(^*\)-algebras
Functional Analysis
2026-05-19 v1 Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2605.17235,
title = {Singular value functions for C\(^*\)-algebras},
author = {Naoto Fujitsu},
journal= {arXiv preprint arXiv:2605.17235},
year = {2026}
}