A new proof that every weakly compact operator with domain L(μ) is representable.
Diómedes Bárcenas (1991)
Extracta Mathematicae
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Displaying similar documents to “Weakly countably determined spaces of high complexity”
A new proof that every weakly compact operator with domain L(μ) is representable.
Some properties of weakly countably determined Banach spaces
M. Valdivia (1989)
Studia Mathematica
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The strong WCD property for Banach spaces.
Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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A new class of weakly countably determined Banach spaces
K. K. Kampoukos, S. K. Mercourakis (2010)
Fundamenta Mathematicae
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A class of Banach spaces, countably determined in their weak topology (hence, WCD spaces) is defined and studied; we call them strongly weakly countably determined (SWCD) Banach spaces. The main results are the following: (i) A separable Banach space not containing ℓ¹(ℕ) is SWCD if and only if it has separable dual; thus in particular, not every separable Banach space is SWCD. (ii) If K is a compact space, then the space C(K) is SWCD if and only if K is countable.
The positive Schur property in Banach lattices.
José A. Sánchez H. (1992)
Extracta Mathematicae
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Dunford-Pettis-like properties of continuous vector function spaces.
Jesús M. Fernández Castillo, Fernando Sánchez (1993)
Revista Matemática de la Universidad Complutense de Madrid
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M-weak and L-weak compactness of b-weakly compact operators
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).
Some permanence results of properties of Banach spaces
Giovanni Emmanuele (2004)
Commentationes Mathematicae Universitatis Carolinae
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Using some known lifting theorems we present three-space property type and permanence results; some of them seem to be new, whereas other are improvements of known facts.
On the equality between some classes of operators on Banach lattices
Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)
Mathematica Bohemica
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We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.