Operator Jensen's inequality for operator superquadratic functions
Functional Analysis
2019-12-17 v4
Abstract
In this work, an operator superquadratic function (in operator sense) for positive Hilbert space operators is defined. Several examples with some important properties together with some observations which are related to the operator convexity are pointed out. Equivalent statements of a non-commutative version of Jensen's inequality for operator superquadratic function are established. A generalization of the main result to any positive unital linear map is also provided.
Cite
@article{arxiv.1902.04894,
title = {Operator Jensen's inequality for operator superquadratic functions},
author = {M. W. Alomari},
journal= {arXiv preprint arXiv:1902.04894},
year = {2019}
}
Comments
12 pages