A remark on Edgar's extremal integral representation theorem
Piotr Mankiewicz (1978)
Studia Mathematica
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Piotr Mankiewicz (1978)
Studia Mathematica
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Lech Drewnowski (1993)
Studia Mathematica
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It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.
Bárcenas, Diómedes (2003)
Divulgaciones Matemáticas
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Ch. Stegall (1975-1976)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Antonio Avilés (2005)
Studia Mathematica
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We prove that a continuous image of a Radon-Nikodým compact of weight less than b is Radon-Nikodým compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In this case, in addition, there exists a subspace of an Asplund generated space which is not Asplund generated and which has density character exactly b.
W. J. Davis (1973-1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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J. Bourgain (1978)
Compositio Mathematica
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Winkler, Gerhard
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