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Realcompactness and Banach-Stone theorems

Jesus Araujo
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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.

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Jesus Araujo. 2001-05-14. Realcompactness and Banach-Stone theorems. https://arxiv.org/abs/math/0010292

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