NDLI: On the Stone-Weierstrass theorem

Content Provider	Scilit
Author	Ng, Kung-Fu
Copyright Year	1976
Description	Let M be a vector subspace of the Banach space C(Ω) of all real-valued continuous functions on a compact space Ω, and suppose that M contains a subset L and the constant functions. Then in order that L be dense in M it is necessary and sufficient that L, M satisfy a filtering property and that each m in M can be approximated on every two points of Ω by functions in L.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A0F03B0F4DB46198690B5DD187689D7C/S1446788700018632a.pdf/div-class-title-on-the-stone-weierstrass-theorem-div.pdf
Ending Page	340
Page Count	4
Starting Page	337
ISSN	14467887
e-ISSN	14468107
DOI	10.1017/s1446788700018632
Journal	Journal of the Australian Mathematical Society
Issue Number	3
Volume Number	21
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1976-05-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society Applied Mathematics Weierstrass Theorem Stone Weierstrass
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On the Stone-Weierstrass theorem