Separated sequences in asymptotically uniformly convex Banach spaces
Colloquium Mathematicae (2010)
- Volume: 119, Issue: 1, page 123-125
- ISSN: 0010-1354
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topSylvain Delpech. "Separated sequences in asymptotically uniformly convex Banach spaces." Colloquium Mathematicae 119.1 (2010): 123-125. <http://eudml.org/doc/284333>.
@article{SylvainDelpech2010,
abstract = {We prove that the unit sphere of every infinite-dimensional Banach space X contains an α-separated sequence, for every $0 < α < 1 + δ̅_X(1)$, where $δ̅_X$ denotes the modulus of asymptotic uniform convexity of X.},
author = {Sylvain Delpech},
journal = {Colloquium Mathematicae},
keywords = {separated sequences; asymptotically uniformly convex Banach spaces; modulus of asymptotic uniform convexity},
language = {eng},
number = {1},
pages = {123-125},
title = {Separated sequences in asymptotically uniformly convex Banach spaces},
url = {http://eudml.org/doc/284333},
volume = {119},
year = {2010},
}
TY - JOUR
AU - Sylvain Delpech
TI - Separated sequences in asymptotically uniformly convex Banach spaces
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 123
EP - 125
AB - We prove that the unit sphere of every infinite-dimensional Banach space X contains an α-separated sequence, for every $0 < α < 1 + δ̅_X(1)$, where $δ̅_X$ denotes the modulus of asymptotic uniform convexity of X.
LA - eng
KW - separated sequences; asymptotically uniformly convex Banach spaces; modulus of asymptotic uniform convexity
UR - http://eudml.org/doc/284333
ER -
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