An example concerning reflexivity
R. Herman, R. Whitley (1967)
Studia Mathematica
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R. Herman, R. Whitley (1967)
Studia Mathematica
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Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Ivan Singer (1979)
Banach Center Publications
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Jorge Mújica (1997)
Revista Matemática de la Universidad Complutense de Madrid
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In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.
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 .
W. Johnson, H. Rosenthal (1972)
Studia Mathematica
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William Johnson (1974)
Studia Mathematica
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I. Singer (1962)
Studia Mathematica
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J. Holub, J. Retherford (1970)
Studia Mathematica
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A. Pełczyński (1971)
Studia Mathematica
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V. Moscatelli (1974)
Studia Mathematica
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