Equicontinuity and almost periodic functions

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Equicontinuity and Almost Periodic Functions1

Let A be a separated uniform space, C(X, X) the set of continuous functions of X into X, and C(X) the set of real valued continuous functions on X provided with the topology of uniform convergence. For fEC(X) and aEC(X, X), fa will denote that element of C(X) such that (fa)(x) =f(xa)(xEX). Let fEC(X) and A EC(X, X). Then f is said to be almost periodic with respect to A if fA = [fa\ aEA ] is a ...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1959

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1959-0107225-x