Representable Banach Spaces and Uniformly Gateaux-Smooth Norms
Serdica Mathematical Journal (1996)
- Volume: 22, Issue: 1, page 33-38
- ISSN: 1310-6600
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topFrontisi, Julien. "Representable Banach Spaces and Uniformly Gateaux-Smooth Norms." Serdica Mathematical Journal 22.1 (1996): 33-38. <http://eudml.org/doc/11627>.
@article{Frontisi1996,
abstract = {It is proved that a representable non-separable Banach space does
not admit uniformly Gâteaux-smooth norms. This is true in particular for C(K)
spaces where K is a separable non-metrizable Rosenthal compact space.},
author = {Frontisi, Julien},
journal = {Serdica Mathematical Journal},
keywords = {Gâteaux-Smoothness; Renormings; Representable Banach Spaces; uniformly Gâteaux-smooth norms; non-metrizable Rosenthal compact space},
language = {eng},
number = {1},
pages = {33-38},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Representable Banach Spaces and Uniformly Gateaux-Smooth Norms},
url = {http://eudml.org/doc/11627},
volume = {22},
year = {1996},
}
TY - JOUR
AU - Frontisi, Julien
TI - Representable Banach Spaces and Uniformly Gateaux-Smooth Norms
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 1
SP - 33
EP - 38
AB - It is proved that a representable non-separable Banach space does
not admit uniformly Gâteaux-smooth norms. This is true in particular for C(K)
spaces where K is a separable non-metrizable Rosenthal compact space.
LA - eng
KW - Gâteaux-Smoothness; Renormings; Representable Banach Spaces; uniformly Gâteaux-smooth norms; non-metrizable Rosenthal compact space
UR - http://eudml.org/doc/11627
ER -
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