Remarks to weakly continuous inverse operators and an application in hyperelasticity
Milan Konečný (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Milan Konečný (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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T. Alvarez, R. Cross, A. Gouveia (1995)
Studia Mathematica
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Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.
Driss Lhaimer, Mohammed Moussa, Khalid Bouras (2020)
Mathematica Bohemica
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In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
Kamal El Fahri, Hassan Khabaoui, Jawad Hmichane (2022)
Commentationes Mathematicae Universitatis Carolinae
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We introduce a new class of operators that generalizes L-weakly compact operators, which we call order almost L-weakly compact. We give some characterizations of this class and we show that this class of operators satisfies the domination problem.
J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)
Commentationes Mathematicae Universitatis Carolinae
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We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).