Maps on positive cones in operator algebras preserving power means
Functional Analysis
2019-09-26 v1 Operator Algebras
Abstract
In this paper we consider power means of positive Hilbert space operators both in the conventional and in the Kubo-Ando senses. We describe the corresponding isomorphisms (bijective transformations respecting those means as binary operations) on positive definite cones and on positive semidefinite cones in operator algebras. We also investigate the question when those two sorts of power means can be transformed into each other.
Keywords
Cite
@article{arxiv.1909.11300,
title = {Maps on positive cones in operator algebras preserving power means},
author = {Lajos Molnár},
journal= {arXiv preprint arXiv:1909.11300},
year = {2019}
}
Comments
To appear in Aequationes Math