Complete sets and completion of sets in Banach spaces |
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Authors: | Horst Martini Pier Luigi Papini Margarita Spirova |
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Affiliation: | 1. Fakult?t für Mathematik, TU Chemnitz, 09107?, Chemnitz, Germany 2. Via Martucci 19, 40136?, Bologna, Italy
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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. |
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