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Compact and limited operators [PDF]
Mathematische Nachrichten, 2021 AbstractLet be a bounded linear operator between two real normed spaces. We characterize compactness of T in terms of differentiability of the Lipschitz functions defined on X with values in another normed space Z. Furthermore, using a similar technique we can also characterize finite rank operators in terms of differentiability of a wider class of ...
Mohammed Bachir +2 more
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Some Topological Character of Neutrosophic normed spaces [PDF]
Neutrosophic Sets and Systems, 2021 The concept of neutrosophic normed spaces was introduced by Murat Kirisci* and Necip Simsek [3]. In this paper, by using the compact operator ψ(zj ) and the concept of statistical convergence.
Vakeel A. Khan, Mohammad Daud Khan
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On the class of $\text{b}$-L-weakly and order M-weakly compact operators [PDF]
Mathematica Bohemica, 2020 In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
Driss Lhaimer +2 more
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On linear sections of orthogonally additive operators
Математичні Студії, 2022 Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that,
A. Gumenchuk, I. Krasikova, M. Popov
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ON REPRESENTATION OF ONE CLASS OF SCHMIDT OPERATORS
Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper, unitary symmetrizers are considered. It is well known that using Newton operatoralgorithm, similar to the usual Newton algorithm, for extracting the square root, one can provethat for every Hermitian operator T 0, there exists a unique ...
I. Orazov, A. A. Shaldanbaeva
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Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
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Compact covariance operators [PDF]
Proceedings of the American Mathematical Society, 1981 Let B be a real separable Banach space and R: i'->ia covariance operator. All representations of R in the form 2en ® e", (e", n > 1} c fi, are characterized. Necessary and sufficient conditions for R to be compact are ob- tained, including a generalization of Mercer's theorem. An application to character- istic functions is given. 1. Introduction.
Baker, Charles R., McKeague, Ian W.
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ASUPRA REGULARIZĂRII OPERATORILOR INTEGRALI SINGULARI. CRITERII NOETHERIENE
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2020 Lucrarea este consacrată studiului algebrei (închise) generată de operatorii integrali singulari cu coeficienți continui pe conturul Γ. Sunt stabilite condiţiile necesare şi suficiente în care operatorii din algebra A sunt noetherieni în spaţiul Lp (Γ ...
Vasile NEAGU
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Erratum to: Compactness properties for operators dominated by AM-compact operators [PDF]
Proceedings of the American Mathematical Society, 2009 In [ibid. 135, No. 4, 1151--1157 (2007; Zbl 1118.47029)], the authors have characterized Banach lattices such that operators dominated by AM-compact operators are AM-compact; but there was an error in the proof of this characterization. In this note, they give a new and correct proof by using a new lemma.
Aqzzouz, Belmesnaoui, Elbour, Aziz
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