Results 1 to 10 of about 18,815 (235)
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 ...
Zafer Ercan, A. W. Wickstead
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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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Indagationes Mathematicae, 1990 AbstractFor Banach lattices E which are countably order complete or contain a topological orthogonal system and which do not have order continuous norm we prove the existence of non-ergodic operators T on E satisfying 0
Frank Räbiger
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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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Free and Projective Banach Lattices [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012 We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations ...
B. de Pagter, A. W. Wickstead
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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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