Results 1 to 10 of about 49,059 (218)
On b-AM-compact and AM-compact operators [PDF]
Positivity, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Hajji, Mounir Mahfoudhi
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Domination problem for AM-compact abstract Uryson operators
Archiv der Mathematik, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orlov V., Pliev M., Rode D.
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A Core Band of a Bounded Operator in the Order-Continuous Ideal of a Banach Lattice [PDF]
Contributions to MathematicsEvery bounded operator T : E → Y from a Banach lattice E into a Banach space Y admits a canonical localisation on the order-continuous ideal E a . A band B T ⊆ E a is introduced as the largest band of E a on which T is AM-compact.
Ningombam Cha Cogent +1 more
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On linear sections of orthogonally additive operators
Математичні Студії, 2022 Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that,
A. Gumenchuk, I. Krasikova, M. Popov
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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 +3 more
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Erratum to: Compactness properties for operators dominated by AM-compact operators [PDF]
Proceedings of the American Mathematical Society, 2009 In [ibid. 135, No. 4, 1151--1157 (2007; Zbl 1118.47029)], the authors have characterized Banach lattices such that operators dominated by AM-compact operators are AM-compact; but there was an error in the proof of this characterization. In this note, they give a new and correct proof by using a new lemma.
Aqzzouz, Belmesnaoui, Elbour, Aziz
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Erratum: The Duality Problem For The Class of AM-Compact Operators On Banach Lattices
Canadian Mathematical Bulletin, 2011 B. Aqzzouz
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Compactness properties of operators dominated by AM-compact operators [PDF]
Proceedings of the American Mathematical Society, 2007 Based on work of Fremlin, the authors study the domination problem for the class of AM-compact oeprators. Let \(E\) be an arbitrary Banach lattice and let \(S\) and \(T\) be two operators from \(E\) into \(E\) such that \(0\leq S\leq T\) and \(T\) is AM-compact. Then it is shown that \(S^2\) is AM-compact.
Aqzzouz, Belmesnaoui +2 more
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The relation between b-weakly compact operator and KB-operator
Turkish Journal of Mathematics, 2019 Our aim is to solve the problem asked by Bahramnezhad and Azar in "KB-operators on Banach lattices and their relationships with Dunford-Pettis and order weakly compact operators".
Bahri Turan, B. Altın
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Difference of composition operators on weighted Bergman spaces over the half-plane
Journal of Inequalities and Applications, 2016 Recently, the bounded, compact and Hilbert-Schmidt difference of composition operators on the Bergman spaces over the half-plane are characterized in (Choe et al. in Trans. Am. Math. Soc., 2016, in press).
Maocai Wang, Changbao Pang
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