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arXiv · 1709.03357

Characterizations of centrality by local convexity of certain functions on $C^*$-algebras

Dániel Virosztek
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Abstract

We provide a function class which is useful to distinguish central and non-central elements of a $C^*$-algebra in the following sense: for each element $f$ of this function class, a self-adjoint element $a$ of a $C^*$-algebra is central if and only if $f$ is locally convex at $a.$

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BibTeXRIS

Dániel Virosztek. 2017-09-11. Characterizations of centrality by local convexity of certain functions on $C^*$-algebras. https://doi.org/10.1007/978-3-319-75996-8_28

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