Results 11 to 20 of about 11,294 (215)

Continuous Operators for Unbounded Convergence in Banach Lattices

Mathematics, 2022
Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the continuous operators with respect to unbounded convergences.
Zhangjun Wang, Zili Chen
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Banach Lattices of Continuous Banach Lattice-Valued Functions

Journal of Mathematical Analysis and Applications, 1996
The Banach lattices of scalar-valued continuous functions on compact or locally compact Hausdorff spaces are the important objects both in their own right and also as the tools of studying the underlying topological spaces. In the paper under review, the authors introduce and study the vector-valued analogues of such vector lattices, having a Banach ...
Wickstead, Anthony, Ercan, Z.
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Quotient Banach Lattices Under Unbounded Norm Topology [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we verify some extra properties in quotient Banach lattices. Especially, we characterize the  zero neighborhoods under unbounded norm topology (un-topology) in quotient Banach lattices.
Leila Hasanzadeh, Asghar Ranjbari
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On the positive weak almost limited operators

Arab Journal of Mathematical Sciences, 2015
Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi, Aziz Elbour, Kamal El Fahri, Khalid Bouras   +3 more
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Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

Applied General Topology, 2005
Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices.
Lluís Garcia-Raffi, E.A. Sánchez-Pérez   +1 more
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On Bilinear Narrow Operators

Mathematics, 2021
In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev, Nonna Dzhusoeva, Ruslan Kulaev   +2 more
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Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators

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, Kazem Haghnejad Azar, Razi Alavizadeh, Saba Sadeghi Gavgani   +3 more
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On the class of positive disjoint weak $p$-convergent operators [PDF]

Mathematica Bohemica
We introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of
Abderrahman Retbi
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Some results about unbounded convergences in Banach lattices

پژوهش‌های ریاضی, 2022
Introduction Suppose E is a Banach lattice. A net (xα) in E is said to be unbounded absolute weak convergent (uaw-convergent, for short) to x∈E provided that the net (xα-x˄u) convergences to zero, weakly, whenever u∈E+.
Omid Zabeti
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Relatively uniform Banach lattices [PDF]

Proceedings of the American Mathematical Society, 1975
Sequential relative uniform and norm convergence agree in a Banach lattice, if and only if it is equivalent to an M M space.
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