Abstract
In this paper we study properties of complete sets and of completions of sets in Banach spaces, with relation to balls: in particular, we study conditions implying that a set is a ball, or it has a completion which is a ball. We also discuss some related simple properties considered in a few recent papers, a new similar property, and relations among classes of sets defined by them. Results are illustrated by several examples.
Citation
Pier Luigi Papini. "Completions and balls in Banach spaces." Ann. Funct. Anal. 6 (1) 24 - 33, 2015. https://doi.org/10.15352/afa/06-1-3
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