Results 11 to 20 of about 135,605 (213)
Free and projective Banach lattices [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015 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.
de Pagter, Ben, Wickstead, Anthony
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L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices [PDF]
International Journal of Analysis and Applications, 2018 Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach ...
Halimeh Ardakani, Manijeh Salimi
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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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A complement of positive weak almost Dunford-Pettis operators on Banach lattices [PDF]
, 2019 summary:In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach ...
Retbi, Abderrahman
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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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Some characterizations of weakly compact operator on Banach lattices [PDF]
, 2005 summary:We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some ...
Aqzzouz, Belmesnaoui +4 more
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Free Banach lattices under convexity conditions [PDF]
, 2021 We prove the existence of free objects in certain subcategories of Banach lattices, including p-convex Banach lattices, Banach lattices with upper p-estimates, and AM-spaces.
Tradacete, Pedro +4 more
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The strong "zero-two" law for positive contractions of banach-kantorovich Lp-lattices [PDF]
, 2015 In the present paper we study dominated operators acting on Banach{Kantorovich Lp -lattices, constructed by a measure m with values in the ring of all measurable functions.
Bekbaev, Ural +3 more
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