Extension of the refined Jensen's operator inequality with condition on spectra

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 mean...

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Bibliographic Details
Published inAnnals of functional analysis Vol. 3; no. 1; pp. 67 - 85
Main Authors Micic, Jadranka, Pecaric, Josip, Peric, Jurica
Format Journal Article
LanguageEnglish
Published Springer 01.01.2012
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ISSN2008-8752
2008-8752
DOI10.15352/afa/1399900024

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Summary: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. 2010 Mathematics Subject Classification. Primary 47A63; Secondary 47B15. Key words and phrases. Jensen's operator inequality, self-adjoint operator, positive linear mapping, convex function, quasi-arithmetic mean.
ISSN:2008-8752
2008-8752
DOI:10.15352/afa/1399900024