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Subnormal operators and representations of algebras of bounded analytic functions and other uniform algebras

About this Title

Thomas L. Miller, Robert F. Olin and James E. Thomson

Publication: Memoirs of the American Mathematical Society
Publication Year: 1986; Volume 63, Number 354
ISBNs: 978-0-8218-2415-3 (print); 978-1-4704-0770-4 (online)
DOI: https://doi.org/10.1090/memo/0354
MathSciNet review: 856160
MSC: Primary 47B20; Secondary 30H05, 46J15, 47A60

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Table of Contents

Chapters

  • I. Introduction
  • II. Uniqueness of representations
  • III. Continuity properties of unital representations
  • IV. Spectral mapping theorems
  • V. Representations of $H^\infty (G)$ into $L^\infty (\mu )$
  • VI. Representations of $H^\infty (G)$ into $L^\infty (\mu )$ that are isometries
  • VII. Partially subordinate representations
  • VIII. A generalization (of the results in Chapter V)