Abstract.
We provide a quite large 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 the function f is locally convex at a.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Virosztek, D. (2018). Characterizations of centrality by local convexity of certain functions on C*-algebras. In: Böttcher, A., Potts, D., Stollmann, P., Wenzel, D. (eds) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol 268. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-75996-8_28
Download citation
DOI: https://doi.org/10.1007/978-3-319-75996-8_28
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-75995-1
Online ISBN: 978-3-319-75996-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)