Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 8, Number 4 (2017), 460-472.
Nonlinear isometries between function spaces
We demonstrate that any surjective isometry not assumed to be linear between unital, completely regular subspaces of complex-valued, continuous functions on compact Hausdorff spaces is of the form where and are continuous and unimodular, there exists a clopen set with on and on , and and are homeomorphisms.
Ann. Funct. Anal. Volume 8, Number 4 (2017), 460-472.
Received: 16 July 2016
Accepted: 13 December 2016
First available in Project Euclid: 2 June 2017
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Roberts, Kathleen; Lee, Kristopher. Nonlinear isometries between function spaces. Ann. Funct. Anal. 8 (2017), no. 4, 460--472. doi:10.1215/20088752-2017-0010. https://projecteuclid.org/euclid.afa/1496368961