A new operator characterization of the Dunford-Pettis property
Fernando Bombal Gordon (1987)
Extracta Mathematicae
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Displaying similar documents to “A note on the Dunford-Pettis property for quotients of C(K) spaces, K dispersed.”
A new operator characterization of the Dunford-Pettis property
An approach to Schreier's space.
Jesús M. Fernández Castillo, Manuel González (1991)
Extracta Mathematicae
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In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...
On the Dunford-Pettis property in Banach spaces
J. M. F. Castillo, M. Gonzáles (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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On the Dunford-Pettis property
Bombal, Fernando (1988)
Portugaliae mathematica
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On Banach spaces X such that L(Lp,X) = K(Lp,X).
Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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The Dunford-Pettis property in C*-algebras
Cho-Ho Chu, Bruno Iochum (1990)
Studia Mathematica
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Some remarks on lifting of isomorphic properties to injective and projective tensor products.
Emmanuele, G. (1996)
Portugaliae Mathematica
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Almost Weakly Compact Operators
Ioana Ghenciu, Paul Lewis (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.