Results 161 to 170 of about 3,148 (199)
On b-AM-compact and AM-compact operators
Quaestiones Mathematicae, 2022 We show that for positive operator B : E → E on Banach lattices, if there exists a positive operator S : E → E such that:1.SB ≤ BS;2.S is quasinilpotent at some x0 > 0; 3.S dominates a non-zero b-AM-compact operator, then B has a non-trivial closed invariant subspace.
Mohamed Ali Hajji, Mounir Mahfoudhi
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Some results on b-AM-compact operators
Complex Analysis and Operator Theory, 2018 In the abstract of their paper, the authors announce that they will characterize Banach lattices for which the class of order weakly compact operators coincides with the one of b-AM-compact operators. But Theorem 2.2, which they see as one of the main results of the paper, gives only sufficient conditions that are not necessary and therefore I do not ...
На Ченг
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AM-compactness of positive Dunford-Pettis operators on banach lattices
Rendiconti del Circolo Matematico di Palermo, 2007 The authors characterize Banach lattices \(E, F\) where each positive order weakly compact operator from \(E\) into \(F\) is a Dunford-Pettis operator. They further give a characterization of Banach lattices \(E,F\) where each positive Dunford-Pettis operator from \(E\) into \(F\) is AM-compact. They also consider the converse of the last theorem.
Belmesnaoui Aqzzouz, Larbi Zraoula
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Duality properties for b-AM-compact operators on Banach lattices
Mathematical Notes, 2013 Let \(E,F\) be Banach lattices. A subset \(A\) of \(E\) is called \(b\)-order bounded if it is order bounded in the bidual \(E''\) of \(E\). \(E\) is said to have the \(b\)-property if each \(b\)-order bounded subset of \(E\) is also order bounded in \(E\).
На Ченг, Zili Chen, Guanggui Chen
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The order σ-complete vector lattice of AM-compact operators
Czechoslovak Mathematical Journal, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belmesnaoui Aqzzouz, Redouane Nouira
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Some results on AM-compact operators
Positivity, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelmonaim El Kaddouri, Mohammed Moussa
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