New applications of Pták's extension theorem to weak compactness
Pedro José Paúl (1989)
Czechoslovak Mathematical Journal
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Pedro José Paúl (1989)
Czechoslovak Mathematical Journal
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T. Leżański (1956)
Studia Mathematica
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Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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Othman Aboutafail, Larbi Zraoula, Noufissa Hafidi (2021)
Mathematica Bohemica
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We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, L-weakly compact; respectively, M-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
A. Taylor (1939)
Studia Mathematica
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Surjit Singh Khurana (2005)
Mathematica Slovaca
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M. Fabian, V. Montesinos, V. Zizler (2007)
Studia Mathematica
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σ-Asplund generated Banach spaces are used to give new characterizations of subspaces of weakly compactly generated spaces and to prove some results on Radon-Nikodým compacta. We show, typically, that in the framework of weakly Lindelöf determined Banach spaces, subspaces of weakly compactly generated spaces are the same as σ-Asplund generated spaces. For this purpose, we study relationships between quantitative versions of Asplund property, dentability, differentiability, and of weak...
Haskell P. Rosenthal (1974)
Compositio Mathematica
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