A geometric characterization of the Radon-Nikodym property in Banach spaces
J. Bourgain (1978)
Compositio Mathematica
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J. Bourgain (1978)
Compositio Mathematica
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Marián Fabian, Gilles Godefroy (1988)
Studia Mathematica
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Charles Stegall (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Marián J. Fabián, Martin Heisler, Eva Matoušková (1998)
Commentationes Mathematicae Universitatis Carolinae
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A family of compact spaces containing continuous images of Radon-Nikod’ym compacta is introduced and studied. A family of Banach spaces containing subspaces of Asplund generated (i.e., GSG) spaces is introduced and studied. Further, for a continuous image of a Radon-Nikod’ym compact we prove: If is totally disconnected, then it is Radon-Nikod’ym compact. If is adequate, then it is even Eberlein compact.