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# The role of the spectrum in the cyclic behavior of composition operators

### About this Title

**Eva A. Gallardo-Gutiérrez** and **Alfonso Montes-Rodríguez**

Publication: Memoirs of the American Mathematical Society

Publication Year:
2004; Volume 167, Number 791

ISBNs: 978-0-8218-3432-9 (print); 978-1-4704-0389-8 (online)

DOI: https://doi.org/10.1090/memo/0791

MathSciNet review: 2023381

MSC: Primary 47B33; Secondary 30D05, 30D55, 47A10, 47A16

### Table of Contents

**Chapters**

- 1. Introduction and preliminaries
- 2. Linear fractional transformations with an interior or an exterior fixed point
- 3. Non elliptic automorphisms
- 4. The parabolic non automorphism
- 5. Supercyclic linear fractional composition operators