Displaying similar documents to “A proof of the Huff-Morris Radon-Nikodym theorem”

Radon-Nikodým compact spaces of low weight and Banach spaces

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.

Norm fragmented weak* compact sets.

J. E. Jayne, I. Namioka, C. A. Rogers (1990)

Collectanea Mathematica

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A Banach space which is a Cech-analytic space in its weak topology has fourteen measure-theoretic, geometric and topological properties. In a dual Banach space with its weak-star topology essentially the same properties are all equivalent one to another.