Results 1 to 10 of about 1,449 (232)
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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Komlós properties in Banach lattices [PDF]
Acta Mathematica Hungarica, 2018 Several Koml s like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Koml s property, assuming that the compact Hausdorff space $K$ has a nonempty separable open subset $U$ without isolated points such that every $u\in U$ has countable neighborhood base.
Eduard Emelyanov +2 more
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On approximate solution of lattice functional equations in Banach f-algebras
AIMS Mathematics, 2020 The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability
Ehsan Movahednia +3 more
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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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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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On the Banach lattice $$c_0$$ [PDF]
Revista Matemática Complutense, 2020 We show that $c_0$ is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. On the other hand, we show that $c_0$ is complemented in the free Banach lattice generated by itself (seen as a Banach space). As a consequence, the free Banach lattice generated by $c_0$ is not projective.
Antonio Avilés +2 more
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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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