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On von neumann's variation of the weierstrass-stone theorem

 

作者: JoãoB. Prolla,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1992）
卷期: Volume 13, issue 3-4  

页码: 349-353

 

ISSN:0163-0563

 

年代: 1992

 

DOI:10.1080/01630569208816482

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

LetXbe a compact HausdorfF space and letD(X) be the set of all continuous real-valued functionsfdefined onXand such that 0 ≤f(x) ≤ 1, for allxεX.The setD(X) is equipped with the uniform topology. We characterize the uniform closure of subsetsA⊂D(X) containing 0 and 1 and ϕψ + (1 − ϕ)η, whenever they contain ϕ, ψ and η

 

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