Continuity of the uniform rotundity modulus relative to linear subspaces
Manuel Fernández; Isidro Palacios
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 2, page 273-277
- ISSN: 0010-2628
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topFernández, Manuel, and Palacios, Isidro. "Continuity of the uniform rotundity modulus relative to linear subspaces." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 273-277. <http://eudml.org/doc/248045>.
@article{Fernández1997,
abstract = {We prove the continuity of the rotundity modulus relative to linear subspaces of normed spaces. As a consequence we reduce the study of uniform rotundity relative to linear subspaces to the study of the same property relative to closed linear subspaces of Banach spaces.},
author = {Fernández, Manuel, Palacios, Isidro},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniform rotundity; Banach space; modulus of rotundity relative to a subspace; Hausdorff semimetric},
language = {eng},
number = {2},
pages = {273-277},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Continuity of the uniform rotundity modulus relative to linear subspaces},
url = {http://eudml.org/doc/248045},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Fernández, Manuel
AU - Palacios, Isidro
TI - Continuity of the uniform rotundity modulus relative to linear subspaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 273
EP - 277
AB - We prove the continuity of the rotundity modulus relative to linear subspaces of normed spaces. As a consequence we reduce the study of uniform rotundity relative to linear subspaces to the study of the same property relative to closed linear subspaces of Banach spaces.
LA - eng
KW - uniform rotundity; Banach space; modulus of rotundity relative to a subspace; Hausdorff semimetric
UR - http://eudml.org/doc/248045
ER -
References
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