Smith's counterexample about uniform rotundity in every direction.

Fernández, Manuel, and Palacios, Isidro. "Smith's counterexample about uniform rotundity in every direction.." Extracta Mathematicae 15.2 (2000): 257-263. <http://eudml.org/doc/38630>.

@article{Fernández2000,
abstract = {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.},
author = {Fernández, Manuel, Palacios, Isidro},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Espacios normados; Banach space geometry; uniform rotundity in every direction; Chebyshev center},
language = {eng},
number = {2},
pages = {257-263},
title = {Smith's counterexample about uniform rotundity in every direction.},
url = {http://eudml.org/doc/38630},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Fernández, Manuel
AU - Palacios, Isidro
TI - Smith's counterexample about uniform rotundity in every direction.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 2
SP - 257
EP - 263
AB - 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.
LA - eng
KW - Espacios de Banach; Espacios normados; Banach space geometry; uniform rotundity in every direction; Chebyshev center
UR - http://eudml.org/doc/38630
ER -