Trace-Inequalities and Matrix-Convex Functions

A real-valued continuous function f(t) on an interval (α,β) gives rise to a map X↦f(X) via functional calculus from the convex set of n×n Hermitian matrices all of whose eigenvalues belong to the interval. Since the subpace of Hermitian matrices is provide...

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Bibliographic Details
Main Author: Tsuyoshi Ando
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/241908