A criterion for points to belong to the same Gleason part of the algebra $R(X)$

M. S. Mel'nikov


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.

UDC: 517.5

MSC: Primary 46J10, 30A44; Secondary 30A86

Received: 04.10.1976

 English version: Mathematics of the USSR-Izvestiya, 1977, 11:5, 1109–1117

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