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On sets of measurable operators convex and closed in topology of convergence in measure
Bikchentaev Airat Midkhatovich
We investigate some sets of measurable operators convex and closed in topology of convergence
On convexity and compactness of operator ``intervals'' on Hilbert space
Bikchentaev Airat Midkhatovich
'' are investigated. We prove that a von Neumann algebra $M$ is Abelian if and only if $L_X$ is convex for all $X
Convex and set-valued analysis
Arutyunov Aram V., Obukhovskii Valeri
of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part
The punishing factors for convex pairs are 2n-1
Avkhadiev F., Wirths K.
with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω
Convex Isoquants in DEA Models with Selective Convexity
Afanasiev A.P., Krivonozhko V.E., Lychev A.V., Sukhoroslov O.V.
Abstract: Models with selective convexity are an important class of data envelopment analysis (DEA
Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis
Mordukhovich B.S., Nam N.M., Rector R.B., Tran T.
considered in locally convex topological spaces and also in Banach space settings. Besides deriving
The punishing factors for convex pairs are 2n-1
Avkhadiev F., Wirths K.
with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω
Theorems of the Alternative for Systems of Convex Inequalities
Arutyunov A.V., Zhukovskiy S.E., Marinkovic B.
Systems of convex inequalities in function spaces are considered. Solvability conditions
When weak and local measure convergence implies norm convergence
Bikchentaev A., Sukochev F.
-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
Necessary and sufficient conditions of compactness of certain embeddings of Sobolev spaces
Burenkov V.I., Tararykova T.V.
Necessary and sufficient conditions on an open set Ω ⊂ ℝn are obtained ensuring that for l,m ∈ 0, m

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