$\mathbb N$-compactness and automatic continuity in ultrametric spaces of bounded continuous functions
نویسندگان
چکیده
منابع مشابه
N-compactness and Automatic Continuity in Ultrametric Spaces of Bounded Continuous Functions
In this paper (weakly) separating maps between spaces of bounded continuous functions over a nonarchimedean field K are studied. It is proven that the behaviour of these maps when K is not locally compact is very different from the case of realor complex-valued functions: in general, for Ncompact spaces X and Y , the existence of a (weakly) separating additive map T : C∗(X)→ C∗(Y ) implies that...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04781-4