Operator log-convex functions and f-divergence functional
Functional Analysis
2014-08-26 v2
Abstract
We present a characterization of operator log-convex functions by using positive linear mappings. Moreover, we study the non-commutative f-divergence functional of operator log-convex functions. In particular, we prove that f is operator log-convex if and only if the non-commutative f-divergence functional is operator log-convex in its first variable and operator convex in its second variable.
Keywords
Cite
@article{arxiv.1305.7308,
title = {Operator log-convex functions and f-divergence functional},
author = {Mohsen Kian},
journal= {arXiv preprint arXiv:1305.7308},
year = {2014}
}