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2012 Extension of the refined Jensen's operator inequality with condition on spectra
Jadranka Mićić, Jurica Perić, ‎Josip Pečarić
Ann. Funct. Anal. 3(1): 67-85 (2012). DOI: 10.15352/afa/1399900024

Abstract

‎We give an extension of the refined Jensen's operator inequality for‎ ‎$n-$tuples of self-adjoint operators‎, ‎unital $n-$tuples of positive‎ ‎linear mappings and real valued continuous convex functions with‎ ‎conditions on the spectra of the operators‎. ‎We also study the order‎ ‎among quasi-arithmetic means under similar conditions‎.

Citation

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Jadranka Mićić. Jurica Perić. ‎Josip Pečarić. "Extension of the refined Jensen's operator inequality with condition on spectra." Ann. Funct. Anal. 3 (1) 67 - 85, 2012. https://doi.org/10.15352/afa/1399900024

Information

Published: 2012
First available in Project Euclid: 12 May 2014

zbMATH: 1263.47020
MathSciNet: MR2903268
Digital Object Identifier: 10.15352/afa/1399900024

Subjects:
Primary: 47A63
Secondary: 47B15

Keywords: convex function , Jensen's operator inequality , ‎positive linear mapping , ‎quasi-arithmetic mean , ‎self-adjoint operator

Rights: Copyright © 2012 Tusi Mathematical Research Group

Vol.3 • No. 1 • 2012
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