Weak compact generating in duality
Kamil John, Václav Zizler (1976)
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Kamil John, Václav Zizler (1976)
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W. Davis, W. Johnson (1973)
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Haskell P. Rosenthal (1974)
Compositio Mathematica
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W. Johnson, H. Rosenthal (1972)
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Manuel Valdivia (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
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A. Pełczyński (1960)
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Marián Fabian, Gilles Godefroy (1988)
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Jürgen Batt, Georg Schlüchtermann (1986)
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Ginés López (1999)
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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 .