[Banach] Abstract of a paper by Horst Martini, Pier Luigi Papini, and Margarita Spirova

This is an announcement for the paper "Complete sets and completion of sets in Banach spaces" by Horst Martini, Pier Luigi Papini, and Margarita Spirova.

Abstract: In this paper we study properties of complete sets and of completions of sets in Banach spaces. We consider the family of completions of a given set and its size; we also study in detail the relationships concerning diameters, radii, and centers. The results are illustrated by several examples.

Archive classification: math.MG math.FA

Mathematics Subject Classification: 46B20, 46B99, 52A05, 52A20, 52A21

Submitted from: margarita.spirova@mathematik.tu-chemnitz.de

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

http://front.math.ucdavis.edu/1308.0789

or

http://arXiv.org/abs/1308.0789