# 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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