Smith's Counterexample about Uniform Rotundity in Every Direction

Autores: Manuel Fernández García-Hierro , Isidro Palacios Rubio
Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 15, Nº 2, 2000, págs. 257-264
Idioma: inglés
Títulos paralelos:
- Contraejemplo de Smith sobre rotundidad uniforme en todas direcciones
Enlaces
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Resumen
- It is an open question when the direct sum of normed spaces inherits uniform rotundity in every direction from the factor spaces. M. Smith [4] showed that, in general, the answer is negative. The purpose of this paper is to carry out a complete study of Smith's counterexample.