Results 11 to 20 of about 601 (93)
Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators
In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar+2 more
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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj +1 more source
Some results about Lipschitz p-Nuclear Operators
The aim of this paper is to study the onto isometries of the space of strongly Lipschitz p-nuclear operators, introduced by D. Chen and B. Zheng (Nonlinear Anal.,75, 2012).
Bey Khedidja, Belacel Amar
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m-isometric generalised derivations
Given Banach space operators Ai, Bi (i = 1, 2), let δi denote (the generalised derivation) δi(X) = (LAi − RBi )(X) = AiX − XBi. If 0 ∈ σa(Bi), i = 1, 2, and if Δδ1,δ2n(I)=(Lδ1Rδ1-I)n(I)=0\Delta _{{\delta _1},\delta 2}^n\left( I \right) = {\left( {{L_ ...
Duggal B.P., Kim I.H.
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Extension of Zhu′s solution to Lotto′s conjecture on the weighted Bergman spaces
We reformulate Lotto′s conjecture on the weighted Bergman space Aα2 setting and extend Zhu′s solution (on the Hardy space H2) to the space Aα2.
Abebaw Tadesse
wiley +1 more source
Interpolation methods to estimate eigenvalue distribution of some integral operators
We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel‐Lizorkin function space Fpuσ(F qvτ) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel‐Lizorkin space Fpuσ(Ω) and Besov space Bpqτ(Ω) and the interpolation methods to get an estimation ...
E. M. El-Shobaky+3 more
wiley +1 more source
Some remarks on spectra of nuclear operators
We give criteria for the spectra of some nuclear operators in subspaces of quotients of Lp-spaces to be central-symmetric, as well as for the spectra of linear operators in Banach spaces to be Zd-symmetric in the sense of B. Mityagin.
Reinov Oleg I.
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Multilinear mixing operators and Lipschitz mixing operator ideals
In [15], E. A. Sánchez Pérez introduced the class of (s;q,θ ) -mixing operators, as a generalization of (s;q) -mixing operators. We investigate analogous concepts here for the case of multilinear operators between Banach spaces and Lipschitz mappings ...
D. Achour, E. Dahia, M. A. Saleh
semanticscholar +1 more source
Uniformly summing sets of operators on spaces of continuous functions
Let X and Y be Banach spaces. A set ℳ of 1‐summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1‐summing sequence (xn) in X, the series ∑n‖Txn‖ is uniformly convergent in T ∈ ℳ. We study some general properties and obtain a characterization of these sets when ℳ is a set of operators defined on spaces ...
J. M. Delgado, Cándido Piñeiro
wiley +1 more source
In this paper, we consider Toeplitz operators defined on the Bergman space La2(ℂ+)\msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$ of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz
Das Namita, Behera Jitendra Kumar
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