Results 1 to 10 of about 271 (117)
Free Banach Lattices Under Convexity Conditions [PDF]
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022 Pedro Tradacete, Niels Jakob Laustsen
exaly +2 more sources
Some properties of weak Banach-Saks operators [PDF]
Mathematica Bohemica, 2021 We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact).
Othman Aboutafail +2 more
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Geometric Characterization of Injective Banach Lattices
Mathematics, 2021 This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
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Stability of lattice functional equation in UCBF-algebra [PDF]
Journal of Mahani Mathematical Research, 2023 The main aim of this research is to investigate the stability of a functional equation that maintains the lattice structure in a uniformly complete unital Banach $f$-algebra.
Ehsan Movahednia
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Bishop-Phelps-Bollobás property for positive operators when the domain is L∞
Bulletin of Mathematical Sciences, 2021 We prove that the class of positive operators from L∞(μ) to Y has the Bishop-Phelps-Bollobás property for any positive measure μ, whenever Y is a uniformly monotone Banach lattice with a weak unit.
María D. Acosta +1 more
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A note on the Banach lattice $c_0( \ell_2^n)$, its dual and its bidual
Karpatsʹkì Matematičnì Publìkacìï, 2023 The main purpose of this paper is to study some geometric and topological properties of $c_0$-sum of the finite dimensional Banach lattice $\ell_2^n$, its dual and its bidual.
M.L. Lourenço, V.C.C. Miranda
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Application of ${\rm (L)$ sets to some classes of operators} [PDF]
Mathematica Bohemica, 2016 The paper contains some applications of the notion of $L$ sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order ${\rm (L)$-Dunford-Pettis operators, that is, operators from a Banach space into a
Kamal El Fahri +3 more
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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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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 +3 more
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Quotient Banach Lattices Under Unbounded Norm Topology [PDF]
Sahand Communications in Mathematical AnalysisIn 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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