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Let (X,m) and (Y,n) be standard measure spaces. A function f in $L^\infty(X\times Y,m\times n)$ is called a (measurable) Schur multiplier if the map $S_f$, defined on the space of Hilbert-Schmidt operators from $L_2(X,m)$ to $L_2(Y,n)$ by multiplying ...
Shulman, V. S. +2 more
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Operator norm and essential norm of an integral-type operator, recently introduced by this author, from the Dirichlet space to the Bloch-type space on the unit ball in â„‚đť‘› are calculated here.
Stevo Stević
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In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie +1 more
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Tight computationally efficient approximation of matrix norms with applications
We address the problems of computing operator norms of matrices induced by given norms on the argument and the image space. It is known that aside of a fistful of “solvable cases”, most notably, the case when both given norms are Euclidean, computing ...
Juditsky, Anatoli +2 more
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Norm attaining operators [PDF]
Every Banach space is isomorphic to a space with the property that the norm-attaining operators are dense in the space of all operators into it, for any given domain space. A super-reflexive space is arbitrarily nearly isometric to a space with this property.
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Inequalities for the fractional convolution operator on differential forms
The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also ...
Zhimin Dai, Huacan Li, Qunfang Li
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In this paper, we introduce a modified Krasnoselski–Mann type iterative method for capturing a common solution of a split mixed equilibrium problem and a hierarchical fixed point problem of a finite collection of k-strictly pseudocontractive nonself ...
Jong Kyu Kim, Prashanta Majee
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Sharp conditions are obtained for the unique solvability of focal boundary value problems for higher-order functional differential equations under integral restrictions on functional operators.
Eugene Bravyi
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Appropriate Inner Product for PT-Symmetric Hamiltonians
A Hamiltonian $H$ that is not Hermitian can still have a real and complete energy eigenspectrum if it instead is $PT$ symmetric. For such Hamiltonians three possible inner products have been considered in the literature, the $V$ norm, the $PT$ norm, and ...
Mannheim, Philip D.
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Norm Reduction of Averaging Operators [PDF]
Suppose ϕ : S → T \phi :S \to T is an irreducible map of compact Hausdorff spaces, and μ : T → M ( S ) \mu :T \to M(S) the integral representation of an averaging operator for ϕ \phi . We obtain an inequality of
Cohen, H. B., Labbe, M. A., Wolfe, J.
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