Results 11 to 20 of about 129,346 (205)
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. 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 ...
Wickstead, Anthony, de Pagter, Ben
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Free Banach lattices under convexity conditions. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 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.
Jardón-Sánchez H +4 more
europepmc +2 more sources
An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Laustsen, Niels Jakob, Bird, Alistair
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2-convexity and 2-concavity in Schatten ideals. [PDF]
, 1996 The properties p-convexity and q-concavity are fundamental in the study of Banach sequence spaces (see [L-TzII]), and in recent years have been shown to be of great significance in the theory of the corresponding Schatten ideals ([G-TJ], [LP-P] and many ...
Jameson, Graham J. O.
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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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Quotient Banach Lattices Under Unbounded Norm Topology [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we verify some extra properties in quotient Banach lattices. Especially, we characterize the zero neighborhoods under unbounded norm topology (un-topology) in quotient Banach lattices.
Leila Hasanzadeh, Asghar Ranjbari
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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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Komlós properties in Banach lattices [PDF]
Acta Mathematica Hungarica, 2018 Several Komlós like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Komlós 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.
Erkursun-Ozcan, NAZİFE +2 more
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On the positive weak almost limited operators
Arab Journal of Mathematical Sciences, 2015 Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi +3 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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