Realcompactness and Banach-Stone theorems

Details Realcompactness and Banach-Stone theorems Realcompactness and Banach-Stone theorems

2000-10-30

arxiv.org/abs/math/0010292v2

Mathematics

Functional Analysis

14 pages, LaTeX, no figures. Changes in introduction. In section 2 results valid for normed spaces instead of Banach spaces

Scientific paper

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.

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