Tensor products with bounded continuous functions
نویسنده
چکیده
We study the natural inclusions of Cb(X)⊗A into Cb(X,A) and Cb ( X,Cb(Y ) ) into Cb(X × Y ). In particular, excepting trivial cases, both these maps are isomorphisms only when X and Y are pseudocompact. This implies a result of Glicksberg showing that the Stone-Čech compactificiation β(X × Y ) is naturally identified with βX × βY if and only if X and Y are pseudocompact.
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تاریخ انتشار 2003