Pacific Journal of Mathematics · 1974 · 125 citations · 26 references
Let be a topological space, F a complete nonarchimedean rank 1 valued field, and C*(S, F) the Banach algebra of bounded, continuous, F-valued functions on &. Various topological conditions on S and/or F are shown to be equivalent, respectively,
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Rings of Continuous Functions.
E. R. Lorch, Leonard Gillman, Meyer Jerison · American Mathematical Monthly · 1961 · 2.3K citations
RINGS OF CONTINUOUS FUNCTIONS*
Leonard Gillman · Transactions of the New York Academy of Sciences · 1964 · 373 citations