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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 5, Pages 1109–1117
DOI: https://doi.org/10.1070/IM1977v011n05ABEH001761 (Mi im1923) 		 
A criterion for points to belong to the same Gleason part of the algebra $R(X)$

M. S. Mel'nikov
English version PDF (403 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1977v011n05ABEH001761
Abstract: In this paper necessary and sufficient conditions in terms of analytic capacity are found in order that two points of a compact set $X$ belong to the same Gleason part of the algebra $R(X)$.
Bibliography: 9 titles.
Received: 04.10.1976
Bibliographic databases:
UDC: 517.5
MSC: Primary 46J10, 30A44; Secondary 30A86
Language: English
Original paper language: Russian
Citation: M. S. Mel'nikov, “A criterion for points to belong to the same Gleason part of the algebra $R(X)$”, Math. USSR-Izv., 11:5 (1977), 1109–1117
Citation in format AMSBIB
\Bibitem{Mel77}
\by M.~S.~Mel'nikov
\paper A~criterion for points to belong to the same Gleason part of the algebra~$R(X)$
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 5
\pages 1109--1117
\mathnet{http://mi.mathnet.ru/eng/im1923}
\crossref{https://doi.org/10.1070/IM1977v011n05ABEH001761}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=473842}
\zmath{https://zbmath.org/?q=an:0372.46051|0388.46034}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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