Extraction of subsequences in Banach spaces.
Jesús M. Fernández Castillo (1992)
Extracta Mathematicae
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Jesús M. Fernández Castillo (1992)
Extracta Mathematicae
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Bogdan Rzepecki (1983)
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Jesús M. Fernández Castillo, Manuel González (1991)
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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|, ...
Jesús M. Fernández Castillo, Ricardo García (2005)
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Fernando Bombal (1990)
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P. Biström, J. A. Jaramillo, M. Lindström (1993)
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In this paper weare interested in subsets of a real Banach space on which different classes of functions are bounded.