On Pelczynski's property (V*) in vector sequence spaces.
Fernando Bombal Gordón (1988)
Collectanea Mathematica
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Fernando Bombal Gordón (1988)
Collectanea Mathematica
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E. Odell (1980)
Compositio Mathematica
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Helga Fetter, Berta Gamboa De Buen (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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H. Benabdellah, C. Castaing (1997)
Collectanea Mathematica
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Togo Nishiura, Daniel Waterman (1963)
Studia Mathematica
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Ginés López (1999)
Studia Mathematica
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We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) without copies is somewhat reflexive (every infinite-dimensional subspace contains an infinite-dimensional reflexive subspace). Furthermore, applying the -theorem by Rosenthal, it is proved that X contains order-one quasireflexive subspaces if X is not reflexive. Also, we obtain a characterization of the usual basis in .
A. Pełczyński (1965)
Studia Mathematica
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Vassiliki Farmaki (1993)
Studia Mathematica
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For every element x** in the double dual of a separable Banach space X there exists the sequence of the canonical reproductions of x** in the even-order duals of X. In this paper we prove that every such sequence defines a spreading model for X. Using this result we characterize the elements of X**╲ X which belong to the class (resp. to the class ) as the elements with the sequence equivalent to the usual basis of (resp. as the elements with the sequence equivalent to the...
C. Bessaga, A. Pełczyński (1958)
Studia Mathematica
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James Halger (1977)
Studia Mathematica
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