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b-AM-Dunford–Pettis Operators on Banach lattices
In our research work, we introduce a new class of operators that we call b - AM-Dunford–Pettis operators. Properties of b -AM-Dunford–Pettis operators,...
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Aron–Berner extensions of almost Dunford–Pettis multilinear operators
We study when Aron–Berner extensions of (separately) almost Dunford–Pettis multilinear operators between Banach lattices are (separately) almost...
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On the class of demi Dunford–Pettis operators
In this paper, our central focus is upon introducing the class of demi Dunford–Pettis operators. The paper rests essentially on two parts. In the...
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Some results on the class of weakly sequentially precompact sets and operators
The paper contains some results on weakly sequentially precompact sets and operators. In particular, we establish some relationships between weakly...
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A Note on L-Dunford-Pettis Sets in a Topological Dual Banach Space
The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More...
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Weak and almost Grothendieck operators in Banach lattices
In this paper, we introduce and study a weak version of Grothendieck operators that we will call weak Grothendieck operators, these are operators...
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Some results on upper semi-Fredholm operators on Banach lattices
We study the class of upper semi-Fredholm operators acting between Banach lattices. It focuses on the domination of such operators by compact,...
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Weak fixed point property for a Banach lattice of some compact operator spaces
According to the three concepts, weak orthogonality, WORTH property and non-strictly Opial condition in Banach spaces, the disjoint (positive)...
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Banach spaces in which weakly p-Dunford–Pettis sets are relatively compact
In this paper we introduce p -Dunford–Pettis completely continuous operators and study Banach spaces with the wp -Dunford–Pettis relative compact...
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On the positively limited p-Schur property in Banach lattices
This paper is devoted to three properties of Banach lattices related to positively limited sets, which are called the positively limited Schur...