Submitted:
13 December 2019
Posted:
15 December 2019
Read the latest preprint version here
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.
Keywords:
Klein's inequality
; Jensen's trace inequality
; trace inequality
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