Operator convex functions over C*-algebras

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

operator monotone functions

functions

matrix convex

operator convex functions

Mathematics/Applied Mathematics

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