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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| Published in | Annals of functional analysis Vol. 3; no. 1; pp. 67 - 85 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Springer
01.01.2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2008-8752 2008-8752 |
| DOI | 10.15352/afa/1399900024 |
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| 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. 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. |
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| AbstractList | 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. |
| Audience | Academic |
| Author | Pečarić, Josip Mićić, Jadranka Perić, Jurica |
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| Title | Extension of the refined Jensen's operator inequality with condition on spectra |
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