SOME TRACE INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES
نویسندگان
چکیده
منابع مشابه
Some Slater Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
Some inequalities of the Slater type for convex functions of selfad-joint operators in Hilbert spaces H under suitable assumptions for the involved operators are given. Amongst others, it is shown that if A is a positive definite operator with Sp (A) ⊂ [m, M ] and f is convex and has a continuous derivative on [m, M ] , then for any x ∈ H with x = 1 the following inequality holds: 0 ≤ f Af ′ (A...
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ژورنال
عنوان ژورنال: Korean Journal of Mathematics
سال: 2016
ISSN: 1976-8605
DOI: 10.11568/kjm.2016.24.2.273