Results 11 to 20 of about 5,196 (246)
On the Quotients of Regular Operators
Universal Journal of Mathematics and Applications, 2019 We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram +1 more
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Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators.
Reyhaneh Bagheri, Davood Alimohammadi
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Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces
مجلة بغداد للعلوم, 2019 In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
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On Power Compact Operators [PDF]
Proceedings of the American Mathematical Society, 1980 We give an operator theoretic proof of the following result of D. G. Tacon: Theorem. If { T n } \{ {T_n}\} is a sequence of bounded linear operators in a complex infinite dimensional Hilbert space with the property that for every bounded sequence {
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Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative
Communications in Advanced Mathematical Sciences, 2020 Spectral properties of analytic families of compact operators on a Hilbert space are studied. The results obtained are then used to establish that an analytic family of self-adjoint compact operators on a Hilbert space $\mathcal{H},$ which commute with ...
Abdelaziz Maouche
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Some properties of weak Banach-Saks operators [PDF]
Mathematica Bohemica, 2021 We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact).
Othman Aboutafail +2 more
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A property of compact operators [PDF]
Proceedings of the American Mathematical Society, 1984 The present paper is inspired by the work of \textit{V. F. Babenko} and \textit{S. A. Pichugov} [Ukr. Mat. Zh. 33, 491-492 (1981; Zbl 0492.47018)] and that of \textit{I. K. Daugavet} [Usp. Mat. Nauk. 18, No.5(113), 157-158 (1963; Zbl 0138.386)]. They proved that if T is any compact linear operator on either of the Banach spaces \(L^ 1(0,1)\) or C[0,1],
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Continuous linear operators on Orlicz-Bochner spaces
Open Mathematics, 2019 Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and Tφ∧$\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest ...
Nowak Marian
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On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators
Journal of Function Spaces, 2021 We establish the domination property and some lattice approximation properties for almost L-weakly and almost M-weakly compact operators. Then, we consider the linear span of positive almost L-weakly (resp., almost M-weakly) compact operators and give ...
Barış Akay, Ömer Gök
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The Bidual of the Compact Operators [PDF]
Transactions of the American Mathematical Society, 1985 For a Banach space X, let \(X^*\) be the dual, B(X) the Banach algebra of bounded linear operators, and \(B_ F(X)\), \(B_ K(X)\) and \(B_ I(K)\) the ideals of finite rank, compact, and integrable operators, respectivly. \textit{A. Grothendieck} [Mem. Am. Math. Soc. 16, 140 p.
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