Results 21 to 30 of about 1,314 (212)

Applications for Unbounded Convergences in Banach Lattices

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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Linear versus lattice embeddings between Banach lattices [PDF]

, 2022
A well-known classical result states that c0is linearly embeddable in a Banach lattice if and only if it is lattice embeddable. Improving results of H.P. Lotz, H.P. Rosenthal and N.
Martínez-Cervantes, Gonzalo, Tradacete, Pedro, Avilés, Antonio, Rueda Zoca, Abraham   +3 more
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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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Lattice embeddings in free Banach lattices over lattices [PDF]

, 2022
In this article we deal with the free Banach lattice generated by a lattice and its behavior with respect to subspaces. In general, any lattice embedding i:L⟶M between two lattices L⊆M induces a Banach lattice homomorphism ı^:FBL⟨L⟩⟶FBL⟨M⟩ between the ...
Martínez-Cervantes, Gonzalo, Rodríguez, José, Gonzalo Martínez-Cervantes, Avilés, Antonio, Rueda Zoca, Abraham, Abraham Rueda Zoca, Antonio Avilés, José David Rodríguez Abellán   +7 more
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Dominated operators from lattice-normed spaces to sequence Banach lattices

, 2020
. We show that every dominated linear operator from a Banach-Kantorovich space over an atomless Dedekind-complete vector lattice to a sequence Banach lattice ℓp(Γ) or c0(Γ) is narrow.
Pliev M., Abasov N., Megahed A.E.M.
core   +2 more sources

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
doaj  

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
doaj  

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 positive cone of a Banach lattice. Coincidence of topologies and metrizability

, 2023
summary:Let $X$ be a Banach lattice, and denote by $X_+$ its positive cone. The weak topology on $X_+$ is metrizable if and only if it coincides with the strong topology if and only if $X$ is Banach-lattice isomorphic to $l^1(\Gamma)$ for a set $\Gamma$.
Lipecki, Zbigniew
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Bu’s theorem in the positive situation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we valorize the relationship between positive p−summing operators and positive strongly q−summing operators using (Contemp. Math. 328, 145 − 149 (2003)).
Bougoutaia Amar, Belacel Amar
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