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Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps
Available Formats:
Electronic ISBN: 978-1-4704-0248-8
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 Perron-Frobenius Theorem for Nonlinear Maps
Available Formats:
| Electronic ISBN: | 978-1-4704-0248-8 |
| Product Code: | MEMO/138/659.E |
| List Price: | $49.00 |
| MAA Member Price: | $44.10 |
| AMS Member Price: | $29.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 138; 1999; 98 ppMSC: Primary 47;
The classical Frobenius-Perron 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.
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Table of Contents
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Chapters
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1. Introduction
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2. Basic properties of admissible arrays
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3. More properties of admissible arrays
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4. Computation of the sets $P(n)$
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5. Necessary conditions for array admissible sets
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6. Proof of Theorem C
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7. $P(n) \neq Q(n)$ for general $n$
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8. $P_2(n)$ satisfies rule A and rule B
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9. The case of linear maps
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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Volume: 138; 1999; 98 pp
MSC: Primary 47;
The classical Frobenius-Perron 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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.