Banach spaces and bilipschitz maps
Studia Mathematica (1992)
- Volume: 103, Issue: 3, page 291-294
- ISSN: 0039-3223
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topVäisälä, J.. "Banach spaces and bilipschitz maps." Studia Mathematica 103.3 (1992): 291-294. <http://eudml.org/doc/215952>.
@article{Väisälä1992,
abstract = {We show that a normed space E is a Banach space if and only if there is no bilipschitz map of E onto E ∖ \{0\}.},
author = {Väisälä, J.},
journal = {Studia Mathematica},
keywords = {bilipschitz map},
language = {eng},
number = {3},
pages = {291-294},
title = {Banach spaces and bilipschitz maps},
url = {http://eudml.org/doc/215952},
volume = {103},
year = {1992},
}
TY - JOUR
AU - Väisälä, J.
TI - Banach spaces and bilipschitz maps
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 3
SP - 291
EP - 294
AB - We show that a normed space E is a Banach space if and only if there is no bilipschitz map of E onto E ∖ {0}.
LA - eng
KW - bilipschitz map
UR - http://eudml.org/doc/215952
ER -
References
top- [1] P. Tukia and J. Väisälä, Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn. Ser. A I Math. 5 (1980), 97-114. Zbl0403.54005
- [2] J. Väisälä, Quasimöbius maps, J. Analyse Math. 44 (1984/85), 218-234. Zbl0593.30022
- [3] J. Väisälä, Free quasiconformality in Banach spaces I, Ann. Acad. Sci. Fenn. Ser. A I Math. 15 (1990), 355-379. Zbl0696.30022
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