# 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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