Extension of Jensen's inequality for operators without operator convexity (Q554891)
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scientific article; zbMATH DE number 5930741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of Jensen's inequality for operators without operator convexity |
scientific article; zbMATH DE number 5930741 |
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Extension of Jensen's inequality for operators without operator convexity (English)
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22 July 2011
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Summary: We give an extension of Jensen's inequality for \(n\)-tuples of selfadjoint operators, unital \(n\)-tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds. We also study operator quasiarithmetic means under the same conditions.
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Jensen's inequality
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\(n\)-tuples of selfadjoint operators
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quasiarithmetic means
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