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Derivations and automorphisms of Banach algebras of power series

About this Title

Sandy Grabiner

Publication: Memoirs of the American Mathematical Society
Publication Year: 1974; Number 146
ISBNs: 978-0-8218-1846-6 (print); 978-0-8218-9946-5 (online)
DOI: https://doi.org/10.1090/memo/0146
MathSciNet review: 0415321

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Table of Contents

Chapters

  • Part I. Introduction
  • 1. General introduction
  • 2. Statements of major results
  • 3. Multiplying and dividing power series
  • Part II. General theory
  • 4. Derivations
  • 5. Endomorphisms
  • 6. Automorphisms
  • 7. The group of automorphisms
  • 8. Exponentials of derivations
  • 9. Derivations and automorphisms of ideals
  • 10. Rates of quasi-nilpotence
  • 11. Orbits of the automorphism group
  • Part III. Applications
  • 12. Weighted shifts
  • 13. Spaces of analytic functions
  • 14. Operational calculus