Subnormal Operators And Representations Of Algebras Of Bounded Analytic Functions And Other Uniform Algebras
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Subnormal Operators and Representations of Algebras of Bounded Analytic Functions and Other Uniform Algebras
Author: Thomas L. Miller
language: en
Publisher: American Mathematical Soc.
Release Date: 1986
The present memoir lies between operator theory and function theory of one complex variable. Motivated by refinements of the analytic functional calculus of a subnormal operator, the authors are rapidly directed towards difficult problems of hard analysis. Quite specifically, the basic objects to be investigated in this paper are the unital (continuous) algebra homomorphisms [lowercase Greek]Pi : [italic]H[exponent infinity symbol]([italic]G) [rightwards arrow] [italic]L([italic]H), with the additional property that [lowercase Greek]Pi([italic]z) is a subnormal operator.