Memoirs of the American Mathematical Society 1999; 98 pp; softcover Volume: 138 ISBN10: 0821809695 ISBN13: 9780821809693 List Price: US$49 Individual Members: US$29.40 Institutional Members: US$39.20 Order Code: MEMO/138/659
 The classical FrobeniusPerron Theorem establishes the existence of periodic points of certain linear maps in \({\mathbb R}^n\). The authors present generalizations of this theorem to nonlinear maps. Readership Graduate students and research mathematicians working in operator theory. Table of Contents  Introduction
 Basic properties of admissible arrays
 Further properties of admissible arrays
 Computation of the sets \(P(n)\)
 Necessary conditions for array admissible sets
 Proof of Theorem C
 \(P(n)\ne Q(n)\) for general \(n\)
 \(P_2(n)\) satisfies rule A and rule B
 The case of linear maps
 Bibliography
 Appendix A Description of the program
 Appendix B Numerical data
