Results 11 to 20 of about 1,337 (221)

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
openaire   +5 more sources

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, Laustsen NJ, Taylor MA, Tradacete P, Troitsky VG.   +4 more
europepmc   +2 more sources

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.
Emelyanov, E. Y., Erkurşun-Özcan, N., Gorokhova, S. G.   +2 more
openaire   +3 more sources

Convex Semigroups on Banach Lattices

, 2019
AMS 2010 Subject Classifcation: 47H20; 35A02 ...
Denk, Robert, Kupper, Michael, Nendel, Max   +2 more
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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.
openaire   +1 more source

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
core   +1 more source

Quotient Banach Lattices Under Unbounded Norm Topology [PDF]

Sahand Communications in Mathematical Analysis
In 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
doaj   +1 more source

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, Aziz Elbour, Kamal El Fahri, Khalid Bouras   +3 more
doaj   +1 more source

Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

Applied General Topology, 2005
Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices.
Lluís Garcia-Raffi, E.A. Sánchez-Pérez   +1 more
doaj   +1 more source

Some characterizations of weakly compact operator on Banach lattices [PDF]

, 2011
summary:We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some ...
Aqzzouz, Belmesnaoui, Bouras, Khalid
core   +1 more source