Results 1 to 10 of about 1,203,844 (201)
Applications for Unbounded Convergences in Banach Lattices [PDF]
Fractal and Fractional, 2022 Several recent papers investigated unbounded convergences in Banach lattices. The focus of this paper is to apply the results of unbounded convergence to the classical Banach lattice theory from a new perspective.
Zhangjun Wang, Zili Chen
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Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators [PDF]
Journal of Mathematics, 2023 We introduce the class of unbounded M-weakly compact operators and the class of unbounded L-weakly compact operators. We investigate some properties for this new classification of operators, and we study the relation between them and M-weakly compact and
Zahra Niktab +3 more
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A note on topologically b-order bounded sets and generalized b-weakly compact operators
Taiwanese Journal of Mathematics, 2022 In this paper every b-weakly compact operator is shown to factor through a KB-space. Also we give some necessary and sufficient conditions for a continuous operator T : E -> X from a Banach lattice into a Banach space to be a b-weakly compact. Moreover, we investigated the order structure of b-weakly compact operator.
Nabil Machrafi, Birol Altın
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Compact and weakly compact Lipschitz operators [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022 Any Lipschitz map $f : M \to N$ between two pointed metric spaces may be extended in a unique way to a bounded linear operator $\widehat {f} : \mathcal {F}(M) \to \mathcal {F}(N)$ between their corresponding Lipschitz-free spaces. In this paper, we give a necessary and sufficient condition for $\widehat {f}$ to be compact in terms of metric conditions ...
Arafat Abbar +2 more
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Uniformly factoring weakly compact operators and parametrised dualisation [PDF]
Forum of Mathematics, Sigma, 2021 This article deals with the problem of when, given a collection $\mathcal {C}$ of weakly compact operators between separable Banach spaces, there exists a separable reflexive Banach space Z with a Schauder basis so that every element in $\mathcal {C ...
L. Antunes, K. Beanland, B. M. Braga
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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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Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets
Journal of Advanced Research in Natural and Applied SciencesThe study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and ...
Ramazan İnal, Ayşegül Keten Çopur
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On collectively L-weakly compact sets of operators [PDF]
Analysis MathematicaA set of bounded linear operators from a Banach space to a Banach lattice is collectively L-weakly compact whenever union of images of the unit ball is L-weakly compact. We extend the Meyer-Nieberg duality theorem to collectively L-weakly compact sets of operators, study relations between these sets and collectively almost limited sets, and discuss the
Eduard Emelyanov
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The modulus of a weakly compact operator
Mathematische Zeitschrift, 1987 We answer the following two questions: (I) What order complete Banach lattices E have the property: if K is a compact Hausdorff space, then every weakly compact operator C(K)\(\to E\) is regular (in the sense of Riesz space theory)? (II) What weakly Fatou order complete Banach lattices E have the property: if K is a compact Hausdorff space and if T is ...
Groenewegen, G., Rooij, A. van
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Some properties of b-weakly compact operators on Banach lattices
پژوهشهای ریاضی, 2021 In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space .
Kazem Haghnejad azar, Akbar Bahramnezhad
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