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Local isometries of function spaces |
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| Authors: | Krzysztof Jarosz T.S.S.R.K. Rao |
| Affiliation: | (1) Southern Illinois University at Edwardsville, Edwardsville, IL 62026, USA (e-mail: kjarosz@siue.edu, http://www.siue.edu/ kjarosz/) , US;(2) Indian Statistical Institute, R. V. College Post, Bangalore, 560059, India (e-mail: tss@isibang.ac.in) , IN |
| Abstract: | Abstract. We show that for a large class of function spaces any isometry that coincides locally with a surjective isometry must be automatically surjective. This class includes finite-codimensional subspaces of and spaces of E-valued continuous functions for finite-dimensional or uniformly convex and algebraically reflexive E. Received: 5 November 2001 / Published online: 14 February 2003 Thanks: Research of both authors partially supported by a grant # 1102386 from the NSF and a grant # DST/INT/US(NSF-RP041)/2000 from the DST |
| Keywords: | Mathematics Subject Classification (1991): 46E15 |
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