| Title | Operator convex functions over C*-algebras |
| Authors | Sergei Silvestrov, Hiroyuki Osaka, Jun Tomiyama |
| Alternative Location | http://dx.doi.org/10.3176/p..., Restricted Access |
| Publication | Proceedings of the Estonian Academy of Sciences |
| Year | 2010 |
| Volume | 59 |
| Issue | 1 |
| Pages | 48 - 52 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Estonian Academy Publishers |
| Abstract English | 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. |
| Keywords | operator monotone functions, functions, matrix convex, operator convex functions, |
| ISBN/ISSN/Other | ISSN: 1736-6046 |
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Last update: 2013-04-11
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