A new proof of James' sup theorem.
Extracta Mathematicae (2005)
- Volume: 20, Issue: 3, page 261-271
- ISSN: 0213-8743
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topMorillon, Marianne. "A new proof of James' sup theorem.." Extracta Mathematicae 20.3 (2005): 261-271. <http://eudml.org/doc/41841>.
@article{Morillon2005,
abstract = {We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson: "If a normed space E does not contain any asymptotically isometric copy of l1, then every bounded sequence of E' has a normalized l1-block sequence pointwise converging to 0".},
author = {Morillon, Marianne},
journal = {Extracta Mathematicae},
keywords = {Espacio reflexivo; Espacios normados; Geometría y estructura de espacios de Banach; James characterizations of reflexivity},
language = {eng},
number = {3},
pages = {261-271},
title = {A new proof of James' sup theorem.},
url = {http://eudml.org/doc/41841},
volume = {20},
year = {2005},
}
TY - JOUR
AU - Morillon, Marianne
TI - A new proof of James' sup theorem.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 3
SP - 261
EP - 271
AB - We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson: "If a normed space E does not contain any asymptotically isometric copy of l1, then every bounded sequence of E' has a normalized l1-block sequence pointwise converging to 0".
LA - eng
KW - Espacio reflexivo; Espacios normados; Geometría y estructura de espacios de Banach; James characterizations of reflexivity
UR - http://eudml.org/doc/41841
ER -
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