Results 1 to 10 of about 10,258 (191)
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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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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Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
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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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On regular operators on Banach Lattices
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 Let E and F be Banach lattices and X and Y be Banach spaces. A linear operator T:E->F is called regular if it is the difference of two positive operators. We show that F has a b-property if and only if Lr(E,F) has b-property.
Omer Gok
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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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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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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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Complex interpolation of compact operators mapping into lattice couples; pp. 19–28 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 After 44 years it is still not known whether an operator mapping one Banach couple boundedly into another and acting compactly on one (or even both) of the âendpointâ spaces also acts compactly between the complex interpolation spaces generated by ...
Michael Cwikel
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Continuous Operators for Unbounded Convergence in Banach Lattices
Mathematics, 2022 Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the continuous operators with respect to unbounded convergences.
Zhangjun Wang, Zili Chen
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