Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81733
Type: Artigo de periódico
Title: ON VONNEUMANN VARIATION OF THE WEIERSTRASS-STONE THEOREM
Author: PROLLA, JB
Abstract: Let X be a compact Hausdorff space and let D(X) be the set of all continuous real-valued functions f defined on X and such that 0 less-than-or-equal-to f(x) less-than-or-equal-to 1, for all x is-an-element-of X. The set D(X) is equipped with the uniform topology. We characterize the uniform closure of subsets A subset-of D(X) containing 0 and 1 and phi-psi + (1 - psi)eta, whenever they contain phi, psi and eta.
Editor: Marcel Dekker Inc
Rights: fechado
Identifier DOI: 10.1080/01630569208816482
Date Issue: 1992
Appears in Collections:Unicamp - Artigos e Outros Documentos

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