On some subsets of
Fernando Bombal (1991)
Czechoslovak Mathematical Journal
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Fernando Bombal (1991)
Czechoslovak Mathematical Journal
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Fernando Bombal (1990)
Extracta Mathematicae
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Fernando Bombal, Pilar Cembranos, José Mendoza (1989)
Extracta Mathematicae
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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|, ...
Fernando Bombal Gordon (1986)
Extracta Mathematicae
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Michael A. Coco (2004)
Studia Mathematica
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We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite-dimensional Banach space has one of three types of biorthogonal systems.
Giovanni Emmanuele (1988)
Extracta Mathematicae
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Jesús M. Fernández Castillo (1992)
Extracta Mathematicae
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