Vol. 94, No. 2, 1981

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ISSN: 0030-8730
An application of Wermer’s subharmonicity theorem

Irving Leonard Glicksberg

Vol. 94 (1981), No. 2, 315–326
Abstract

Wermer originally introduced his subharmonicity theorem to find analytic structure in certain polynomial hulls in C2 and later, with Aupetit, applied it to improve a well known result of Bishop providing analytic structure in the spectra of certain uniform algebras. We make a simpler application to yield analytic structure in the presence of an element of constant modulus on certain fibers provided by another element, and to extend Wermer’s maximality theorem.

Mathematical Subject Classification 2000
Primary: 46J15
Milestones
Received: 19 January 1980
Published: 1 June 1981
Authors
Irving Leonard Glicksberg