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Operator inequalities of Jensen type

M. S. MoslehianJ. MićićM. Kian — 2013

Topological Algebra and its Applications

We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators. Among other things, we prove that if f : [0;1) → ℝ is a continuous convex function with f(0) ≤ 0, then [...] for all operators Ci such that [...] (i=1 , ... , n) for some scalar M ≥ 0, where [...] and [...]

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