Multidimensional Jensen's operator on a Hilbert space and applications

DOI10.1016/j.laa.2011.09.013zbMath1254.47017OpenAlexW1998577163MaRDI QIDQ2427945

Mario Krnić, Neda Lovričević, Josip E. Pečarić

Publication date: 19 April 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.09.013

zbMATH Keywords

geometric meanconnectionoperator convexityJensen's operator inequalityrelative operator entropyJensen's integral operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (3)

Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ More accurate classes of Jensen-type inequalities for convex and operator convex functions ⋮ Sherman's operator inequality

Cites Work

• Means and concave products of positive semi-definite matrices
• Means of positive linear operators
• Operator versions of some classical inequalities
• Extensions of Lieb's concavity theorem
• A reverse inequality for the weighted geometric mean due to Lawson--Lim
• A note on operator inequalities of Tsallis relative operator entropy
• Jensen's operator inequality and its converses
• Converses of Jensen's operator inequality
• JENSEN'S OPERATOR INEQUALITY
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