Extending into isometries of

Author:
T. S. S. R. K. Rao

Journal:
Proc. Amer. Math. Soc. **134** (2006), 2079-2082

MSC (2000):
Primary 47L05, 46B20

Published electronically:
January 5, 2006

MathSciNet review:
2215777

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we generalize a result of Hopenwasser and Plastiras (1997) that gives a geometric condition under which into isometries from to have a unique extension to an isometry in . We show that when and are separable reflexive Banach spaces having the metric approximation property with strictly convex and smooth and such that is a Hahn-Banach smooth subspace of , any nice into isometry has a unique extension to an isometry in .

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Additional Information

**T. S. S. R. K. Rao**

Affiliation:
Stat–Math Unit, Indian Statistical Institute, R. V. College P.O., Bangalore 560059, India

Email:
tss@isibang.ac.in

DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08178-0

Keywords:
Isometries,
Hahn-Banach smooth spaces

Received by editor(s):
November 8, 2004

Received by editor(s) in revised form:
February 15, 2005

Published electronically:
January 5, 2006

Additional Notes:
This work was done under DST-NSF project DST/INT/US(NSF-RPO-0141)/2003

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2006
American Mathematical Society