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Generalizations of the Perron-Frobenius theorem for nonlinear maps
About this Title
R. D. Nussbaum and S. M. Verduyn Lunel
Publication: Memoirs of the American Mathematical Society
Publication Year:
1999; Volume 138, Number 659
ISBNs: 978-0-8218-0969-3 (print); 978-1-4704-0248-8 (online)
DOI: https://doi.org/10.1090/memo/0659
MathSciNet review: 1470912
MSC: Primary 58F20; Secondary 47H99
Table of Contents
Chapters
- 1. Introduction
- 2. Basic properties of admissible arrays
- 3. More properties of admissible arrays
- 4. Computation of the sets $P(n)$
- 5. Necessary conditions for array admissible sets
- 6. Proof of Theorem C
- 7. $P(n) \neq Q(n)$ for generalĀ $n$
- 8. $P_2(n)$ satisfies rule A and rule B
- 9. The case of linear maps