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• W2963771569 abstract "We introduce the notion of Krein-operator convexity in the setting of Krein spaces. We present an indenite version of the Jensen operator inequality on Krein spaces by showing that if (H ;J) is a Krein space,U is an open set which is symmetric with respect to the real axis such that U R consists of a segment of real axis and f is a Krein- operator convex function onU with f(0) = 0, then f(C ) AC) J C ) f(A)C for all J-positive operators A and all invertible J-contractions C such that the spectra of A, C ) AC and D ) AD are contained inU, where D is a defect operator for C ) . We also show that in contrast with usual operator convex functions the converse of this implication is not true, in general." @default.
• W2963771569 created "2019-07-30" @default.
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• W2963771569 creator A5063108894 @default.
• W2963771569 date "2014-01-12" @default.
• W2963771569 modified "2023-09-23" @default.
• W2963771569 title "Operator convexity in Krein spaces" @default.
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