On remotality for convex sets in Banach spaces
| Autor: | T. S. S. R. K. Rao, Miguel Martín |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Convex hull
Convex analysis Discrete mathematics Mathematics(all) Mathematics::Functional Analysis Numerical Analysis Applied Mathematics General Mathematics Convex set Radon–Nikodým property 46B20 (Primary) 41A50 (Secondary) Uniformly convex space Subderivative Choquet theory Functional Analysis (math.FA) Mathematics - Functional Analysis Convex polytope FOS: Mathematics Integral representation Absolutely convex set Analysis Remotal convex sets Mathematics |
| Zdroj: | Journal of Approximation Theory. 162:392-396 |
| ISSN: | 0021-9045 |
| DOI: | 10.1016/j.jat.2009.07.003 |
| Popis: | We show that every infinite dimensional Banach space has a closed and bounded convex set that is not remotal. Comment: 5 pages, to appear in the Journal of Approximation Theory |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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