Displaying similar documents to “Radon-Nikodým compact spaces of low weight and Banach spaces”

Remarks on continuous images of Radon-Nikodým compacta

Marián J. Fabián, Martin Heisler, Eva Matoušková (1998)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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 K we prove: If K is totally disconnected, then it is Radon-Nikod’ym compact. If K is adequate, then it is even Eberlein compact.

A new characterization of Eberlein compacta

Luis Oncina (2001)

Studia Mathematica

Similarity:

We give a sufficient and necessary condition for a Radon-Nikodým compact space to be Eberlein compact in terms of a separable fibre connecting weak-* and norm approximation.