Results 1 to 10 of about 19,014 (240)
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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Means with values in a Banach lattice [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 Means, generalized means and invariant means (on a semigroup) with values in a Banach lattice are defined and studied.
R. Rao Chivukula, I. Ramabhadra Sarma
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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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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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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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Amalgamation and Injectivity in Banach Lattices [PDF]
International Mathematics Research Notices, 2021 Abstract We study distinguished objects in the category $\mathcal{B}\mathcal{L}$ of Banach lattices and lattice homomorphisms. The free Banach lattice construction introduced by de Pagter and Wickstead [ 8] generates push-outs, and combining this with an old result of Kellerer [ 17] on marginal measures, the amalgamation property of ...
Avilés, A., Tradacete, P.
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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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