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On the Systems of Finite Weights on the Algebra of Bounded Operators and Corresponding Translation Invariant Measuresconvexity
Necessary optimality conditions without a priori normality assumptionsIn the linear space X with a given subset C⊂X set are the mappings F1: X→Rk 1, F2: X→Rk 2 and a
Investigation of regularity conditions in optimal control problems with geometric mixed constraints general geometric type, in which a closed non-convex constraint set appears.Aclosely related question
To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator convex) if the corresponding
Certain integral inequalities associated with the strongly harmonic h-convex functionsWe study the concept of strongly harmonically h-convex functions and some examples and properties
On a constructive approach to optimality conditions for convex SIP problems with polyhedral index setsIn the paper, we consider a problem of convex Semi-Infinite Programming with an infinite index set
Hardy type L p-inequalities in r-close-to-convex domains© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants
When weak and local measure convergence implies norm convergence-measurable operators. We prove that for B∈S(M,τ)+ the sets IB={A∈S(M,τ)h:−B≤A≤B} and KB={A∈S(M,τ):A⁎A≤B} are convex
Brezis-Marcus type inequalities with Lamb constant are proved for compactly supported smooth functions on open convex sets in the Euclidean space. We obtain one
Invariant convex bodies for strongly elliptic systems. First, sufficient conditions for the invariance of convex bodies are obtained for linear systems without
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