Realcompactness and Banach-Stone theorems
Functional Analysis
2007-05-23 v2 General Topology
Abstract
For realcompact spaces X and Y we give a complete description of the linear biseparating maps between spaces of vector-valued continuous functions on X and Y, where special attention is paid to spaces of vector-valued bounded continuous functions. These results are applied to describe the linear isometries between spaces of vector-valued bounded continuous and uniformly continuous functions.
Cite
@article{arxiv.math/0010292,
title = {Realcompactness and Banach-Stone theorems},
author = {Jesus Araujo},
journal= {arXiv preprint arXiv:math/0010292},
year = {2007}
}
Comments
14 pages, LaTeX, no figures. Changes in introduction. In section 2 results valid for normed spaces instead of Banach spaces