Preprint Article Version 1 This version is not peer-reviewed

Trace Operator Inequality for Superquadratic Functions

Version 1 : Received: 13 December 2019 / Approved: 15 December 2019 / Online: 15 December 2019 (14:08:32 CET)
Version 2 : Received: 11 January 2020 / Approved: 12 January 2020 / Online: 12 January 2020 (17:55:39 CET)

How to cite: Alomari, M. Trace Operator Inequality for Superquadratic Functions. Preprints 2019, 2019120192 (doi: 10.20944/preprints201912.0192.v1). Alomari, M. Trace Operator Inequality for Superquadratic Functions. Preprints 2019, 2019120192 (doi: 10.20944/preprints201912.0192.v1).

Abstract

In this work, some operator trace inequalities are proved. An extension of Klein's inequality for all Hermitian matrices is proved. A non-commutative version (or Hansen-Pedersen version) of the Jensen trace inequality is provided as well. A generalization of the result for any positive Hilbert space operators acts on a positive unital linear map is established.

Subject Areas

Klein's inequality; Jensen's trace inequality; trace inequality

Comments (1)

Comment 1
Received: 29 December 2019
Commenter: Mohammad W. Alomari (Click to see Publons profile: )
The commenter has declared there is no conflict of interests.
Comment: Dear All There is an updated version of this manuscript. A corrected version of the first two results is pointed out.
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