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Completing the Riesz-Dunford functional calculus

About this Title

John B. Conway, Domingo A. Herrero and Bernard B. Morrel

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 82, Number 417
ISBNs: 978-0-8218-2480-1 (print); 978-1-4704-0840-4 (online)
DOI: https://doi.org/10.1090/memo/0417
MathSciNet review: 974999
MSC: Primary 47A60; Secondary 47A55

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Table of Contents

Chapters

  • Introduction
  • 1. Spectral preliminaries
  • 2. The closure of $f(\mathcal {S}(E))$
  • 3. Examples
  • 4. Compact perturbations
  • 5. The interior of $f(\mathcal {S}(E))$
  • 6. The closure of the interior of $f(\mathcal {S}(E))$
  • 7. The interior of the closure of $f(\mathcal {S}(E))$
  • 8. Further iterations of the interior and closure