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We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.
Barbara D. Maccluer
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LW-Compact Operators and Domination Problem
Positivity, 2021Mounir Mahfoudhi, Mohamed Hajji
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Some Properties of Almost L-Weakly and Almost M-Weakly Compact Operators
Positivity, 2020Aziz Elbour
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On the Class of Almost L-Weakly and Almost M-Weakly Compact Operators
Positivity, 2018Mohammed Moussa, Khalid Bouras
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Compact-Like Operators in Lattice-Normed Spaces [PDF]
A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded net x(alpha),,the net Tx(alpha) has a p-convergent subnet.
A. Aydın +14 more
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Compact Operators. Equations with Compact Operators
1996In this chapter, we study an important class of linear continuous operators, namely, compact (or completely continuous) operators. On the one hand, compact operators are interesting because they inherit many properties of operators in finite-dimensional spaces.
Yuri M. Berezansky +2 more
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Factoring Compact Operators and Approximable Operators
Zeitschrift für Analysis und ihre Anwendungen, 1990Our paper is concerned with two topics. The first one is represented by aversion of Figiel’s and Johnson’s theorem on the factorization of compact operators adapted to the framework of ordered Banach spaces. Namely, we prove that every compact operator from a Banach space to an ordered Banach space with closed generating cone (respectively, a Banaöh ...
Popovici, I. M., Vuza, D. T.
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