Papers by Jawad H'michane
On the class of order almost L-weakly compact operators
Commentationes Mathematicae Universitatis Carolinae, Apr 28, 2023
Some new results on L-weakly compact sets and applications
Positivity, Mar 22, 2023
Mathematica Bohemica, 2013
We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.
Simon Stevin, Jun 1, 2012
We characterize Banach lattices under which each AM-compact operator (resp. the second power of a... more We characterize Banach lattices under which each AM-compact operator (resp. the second power of a positive AM-compact operator) is weakly compact. Also, we give some interesting results about b-weakly compact operators and operators of strong type B.
Mathematica Bohemica, 2009
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.
Journal of Mathematical Analysis and Applications, Jun 1, 2009
We characterize Banach lattices for which each positive Dunford-Pettis operator is M-weakly compa... more We characterize Banach lattices for which each positive Dunford-Pettis operator is M-weakly compact (resp. L-weakly compact) and we give some consequences.
arXiv (Cornell University), May 6, 2020
We introduce and study the class of unbounded Dunford-Pettis operators. As consequences, we give ... more We introduce and study the class of unbounded Dunford-Pettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.
Compactness of 6-weakly compact operators
Positivity, May 22, 2018
We introduce and study new class of sets (almost L-limited sets). Also, we introduce new concept ... more We introduce and study new class of sets (almost L-limited sets). Also, we introduce new concept of property in Banach lattice (almost Gelfand-Phillips property) and we characterize this property using almost L-limited sets. On the other hand, we introduce the class of disjoint limited completely continuous operators which is a largest class than that of limited completely continuous operators, we characterize this class of operators and we study some of its properties.
arXiv (Cornell University), Nov 26, 2021
We introduce and study a new class of operators that we call disjoint weak Banach-Saks operators.... more We introduce and study a new class of operators that we call disjoint weak Banach-Saks operators. We establish some characterizations of this class of operators by different types of convergence (norm convergence, unbounded order convergence, unbounded norm convergence and unbounded absolute weak convergence) as well as by the positive weakly null sequences. Consequently, we give a new characterization of the disjoint weak Banach-Saks property by the positive disjoint weakly null sequences. Furthermore, we study the relationship between this class and other classes of operators.
arXiv (Cornell University), May 1, 2020
Based on the concept of unbounded absolutely weakly convergence, we give new characterizations of... more Based on the concept of unbounded absolutely weakly convergence, we give new characterizations of L-weakly compact sets. As applications, we find some properties of order weakly compact operators. Also, a new characterizations of order continuous Banach lattices are obtained.
On the Class of U-Dunford-Pettis Operators
Quaestiones Mathematicae, Jul 26, 2021
On the duality problem for the class of weak Banach–Saks operators
Rendiconti Del Circolo Matematico Di Palermo, Jul 1, 2020
We study the duality relationship between weak Banach–Saks operators and some other classes of op... more We study the duality relationship between weak Banach–Saks operators and some other classes of operators.
On the class of unbounded-U-Dunford-Pettis operators
The aim of this paper is to introduce and study a new class of operators between Banach lattices ... more The aim of this paper is to introduce and study a new class of operators between Banach lattices based on the unbounded norm topology, nominated "unbounded-U-Dunford-Pettis operators". Namely, we give some characterizations of this class, we study the relations between this class and other classes of operators known in the literature of operator theory on Banach lattices, and we study the duality problem for this class of operators. 2010 Mathematics Subject Classification. 46B42, 47B60, 47B65.
On the class of order almost L-weakly compact operators
Commentationes Mathematicae Universitatis Carolinae
On the class of order almost L-weakly compact operators
Commentationes Mathematicae Universitatis Carolinae
Acta Mathematica Universitatis Comenianae, Feb 3, 2015
We introduce and study the class of order-almost limited operators and derive the following inter... more We introduce and study the class of order-almost limited operators and derive the following interesting consequence the domination property of this class of operators, a characterization of the property (d). Then, we characterize Banach lattices E and F on which each operator from E into F that is order-almost limited and weak almost limited is an almost limited operator.
arXiv (Cornell University), Sep 8, 2022
In this paper we introduce and study a new class of operators related to norm bounded sets on Ban... more In this paper we introduce and study a new class of operators related to norm bounded sets on Banach Lattice and which brings together several classical classes of operators (as oweakly compact operators, b-weakly compact operators, M-weakly compact operators, L-weakly compact operators, almost Dunford-Pettis operators). As consequences, we give some new lattice approximation properties of these classes of operators.
Some characterizations of the ideals $$E^a$$ which are discrete
Rendiconti del Circolo Matematico di Palermo Series 2, 2022
Compactness of b-weakly compact operators
Acta Scientiarum Mathematicarum, 2012
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Papers by Jawad H'michane