Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces

Sever S. Dragomir

doi:10.1515/amsil-2016-0005

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Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces

Annales Mathematicae Silesianae

Volume 30 (2016): Issue 1 (September 2016)

By: Sever S. Dragomir

Open Access

|Sep 2016

Abstract

Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace inequalities are also given.

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2016-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 39 - 62

Submitted on: Mar 22, 2016

Accepted on: May 14, 2016

Published on: Sep 23, 2016

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

trace class operators,

Hilbert-Schmidt operators,

trace,

convex functions,

Jensen’s inequality,

trace inequalities for matrices

Related subjects:

Mathematics,

General mathematics

© 2016 Sever S. Dragomir, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 30 (2016): Issue 1 (September 2016)