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Functionals on continuous functions

Published in Pacific Journal of Mathematics • Apr 1, 1974
NobleIDNI3P25W73R16S96
Authors:
J. R. Baxter
,
R. V. Chacon

Abstract

Let ^(M) be the space of continuous functions on a compact metric space M. In a previous paper a class of nonlinear functionals on ^([0 In this paper we show that the dimensionality of [0, 1] x [0, 1] is what makes the construction work. More precisely, we show that if is a functional on ^(M) satisf...

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