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Resumen de Smith's Counterexample about Uniform Rotundity in Every Direction

Manuel Fernández García-Hierro, Isidro Palacios Rubio

  • 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.


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