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Generalizations of the PerronFrobenius Theorem for Nonlinear Maps
eBook ISBN:  9781470402488 
Product Code:  MEMO/138/659.E 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $29.40 
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Generalizations of the PerronFrobenius Theorem for Nonlinear Maps
eBook ISBN:  9781470402488 
Product Code:  MEMO/138/659.E 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $29.40 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 138; 1999; 98 ppMSC: Primary 47
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.
ReadershipGraduate students and research mathematicians working in operator theory.

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 general $n$

8. $P_2(n)$ satisfies rule A and rule B

9. The case of linear maps


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Volume: 138; 1999; 98 pp
MSC: Primary 47
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.

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 general $n$

8. $P_2(n)$ satisfies rule A and rule B

9. The case of linear maps
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