Several dimensional properties of the spectrum of a uniform algebra
Richard F. Basener · Pacific Journal of Mathematics · 1978
The author has previously introduced a generalized Silov boundary which seems useful in studying analytic structure of several dimensions in the spectrum of a uniform algebra 2ί.Related generalizations of 2ϊ-convexity, 2ί-polyhedra, etc. are developed here.Several different but equivalent approaches to these various generalizations are described.The generalized boundaries discussed here are related to the "qholomorphic functions" of the author, and to 2ϊ-holomorphic convexity.298