Vol. 74, No. 2, 1978

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Several dimensional properties of the spectrum of a uniform algebra

Richard F. Basener

Vol. 74 (1978), No. 2, 297–306
Abstract

The author has previously introduced a generalized Šilov boundary which seems useful in studying analytic structure of several dimensions in the spectrum of a uniform algebra A. Related generalizations of A-convexity, A-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 “q-holomorphic functions” of the author, and to A-holomorphic convexity.

Mathematical Subject Classification 2000
Primary: 32E25
Secondary: 46J10
Milestones
Received: 24 June 1977
Published: 1 February 1978
Authors
Richard F. Basener