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Operator convex functions over C*-algebras
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
Ritsumeikan University, Kusatsu, Japan .
Tokyo Metropolitan University, Japan .
2010 (English)In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, Vol. 59, no 1, 48-52 p.Article in journal (Refereed) Published
Abstract [en]

In this short note we give an exact characterization of C*-algebras that have the class of convex functions. More precisely, we give a convexity characterization of subhomogeneous C*-algebras. We use these results to generalize the single function based convexity conditions for commutativity of a C*-algebra to the single function based convexity conditions for subhomogeneity.

Place, publisher, year, edition, pages
2010. Vol. 59, no 1, 48-52 p.
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22065DOI: 10.3176/proc.2010.1.08ISI: 000276989900008Scopus ID: 2-s2.0-77956604718OAI: oai:DiVA.org:mdh-22065DiVA: diva2:679245
Available from: 2013-12-14 Created: 2013-10-23 Last updated: 2014-06-23Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.3176/proc.2010.1.08

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