ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2022): 0.9
Operator convex functions over C *-algebras; pp. 48–52
PDF | doi: 10.3176/proc.2010.1.08

Authors
Sergei Silvestrov, Hiroyuki Osaka, Jun Tomiyama
Abstract
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.
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