Results 1 to 10 of about 135,605 (213)

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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Free Banach Lattices Under Convexity Conditions [PDF]

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 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.
Pedro Tradacete, Niels Jakob Laustsen, Vladimir G Troitsky   +2 more
exaly   +4 more sources

On regular operators on Banach Lattices [PDF]

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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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
doaj   +1 more source

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, Nabil Machrafi, Jawad H'Michane, Aziz Elbour   +3 more
doaj   +1 more source

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