A remark on quasi-isometries

Author:
N. J. Kalton

Journal:
Proc. Amer. Math. Soc. **131** (2003), 1225-1231

MSC (2000):
Primary 46C05, 47H99

DOI:
https://doi.org/10.1090/S0002-9939-02-06663-7

Published electronically:
July 26, 2002

MathSciNet review:
1948114

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that if is an quasi-isometry, with , defined on the unit ball of , then there is an affine isometry with where is a universal constant. This result is sharp.

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Additional Information

**N. J. Kalton**

Affiliation:
Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211

Email:
nigel@math.missouri.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06663-7

Keywords:
Quasi-isometries in Euclidean spaces

Received by editor(s):
June 10, 2001

Received by editor(s) in revised form:
November 27, 2001

Published electronically:
July 26, 2002

Additional Notes:
The author was supported by NSF grant DMS-9870027

Communicated by:
N. Tomczak-Jaegermann

Article copyright:
© Copyright 2002
American Mathematical Society