TL;DR
This paper introduces singular value functions for C*-algebras, extending the concept from compact operators, and explores their fundamental properties and examples.
Contribution
It generalizes singular value functions to C*-algebras and establishes their core properties, providing new tools for analysis.
Findings
Defined singular value functions for C*-algebras
Proved fundamental properties of these functions
Provided examples for specific classes of C*-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.
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