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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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 asymptotic behaviour at infinity and the finite section for integral equations on the half-line [PDF]
, 1994 We consider integral equations on the half-line of the form and the finite section approximation to x obtained by replacing the infinite limit of integration by the finite limit β.
Chandler-Wilde, SN
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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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Quantum stochastic convolution cocycles II [PDF]
, 2008 Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
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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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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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Erratum: The Duality Problem For The Class of AM-Compact Operators On Banach Lattices
Canadian Mathematical Bulletin, 2011 B. Aqzzouz
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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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