Results 11 to 20 of about 1,449 (232)

Valuations on Banach Lattices [PDF]

International Mathematics Research Notices, 2018
Abstract We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including $L_p(\mu )$, Orlicz spaces, and spaces $C(K)$ of continuous functions on a compact Hausdorff space.
Tradacete, Pedro, Villanueva, Ignacio
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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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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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Banach Lattice Structures and Concavifications in Banach Spaces

Mathematics, 2020
Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ...
Lucia Agud, Jose Manuel Calabuig, Maria Aranzazu Juan, Enrique A. Sánchez Pérez   +3 more
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Martingale-like sequences in Banach lattices

Modern Stochastics: Theory and Applications, 2018
Martingale-like sequences in vector lattice and Banach lattice frameworks are defined in the same way as martingales are defined in [Positivity 9 (2005), 437–456].
Haile Gessesse, Alexander Melnikov
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On $p$-convexification of the Banach-Kantorovich lattice [PDF]

E-Journal of Analysis and Applied Mathematics
Let $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense ...
Gavhar B. Zakirova
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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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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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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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A Note of Jessen’s Inequality and Their Applications to Mean-Operators

Mathematics, 2022
A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.
Gul I Hina Aslam, Amjad Ali, Khaled Mehrez   +2 more
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