This is an announcement for the paper "On nested sequences of convex sets in a Banach space" by Jesus M. F. Castillo, Manuel Gonzalez and Pier Luigi Papini.

Abstract: In this paper we study different aspects of the representation of weak*-compact convex sets of the bidual $X^{**}$ of a separable Banach space $X$ via a nested sequence of closed convex bounded sets of $X$.

Archive classification: math.FA

Mathematics Subject Classification: 46B20

Remarks: This paper is to appear in Studia Mathematica

Submitted from: castillo@unex.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1406.6725

or

http://arXiv.org/abs/1406.6725