Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces

Sever S. Dragomir

Published: 2016-09-23

Vol. 30 (2016)

Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces

Sever S. Dragomir

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.

Keywords:

trace class operators , Hilbert-Schmidt operators , trace , convex functions , Jensen’s inequality , trace inequalities for matrices

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Dragomir, S. S. (2016). Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces. Annales Mathematicae Silesianae, 30, 39–62. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13955

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Vol. 30 (2016)
Published: 2016-09-23

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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