Authors:
- More than 350 exercises and a self-contained exposition makes the book suitable for both classroom use and self-study
- Presents simplified proofs, as well as improvements, of known results
- An exhaustive bibliography and the inclusion of a ‘Sources and comments’ section at the end of each chapter provides the reader with ample links to further literature
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“The purpose of this well-written book is to provide a complete survey, essentially self-contained, of those results on linear chaos, that is, those results mainly concerned with the study of the behaviour of the iterates of linear transformations … . book under review is nicely written, the material is well motivated and the selected topics are accessible to anyone with a reasonable background in functional analysis at the graduate level. … present monograph constitutes a valuable guide for both students and researchers of the subject.” (E. A. Gallardo-Gutiérrez, Mathematical Reviews, 2013)
“The book under review aims at presenting in an accessible and self-contained way the theory of hypercyclicity and, more generally, the theory of chaos for linear dynamical systems. … It is accessible to advanced undergraduate or beginning graduate students, as well as to nonspecialists who wish to learn about linear dynamical systems. The book covers in great detail what may now be thought of as the basis of the theory, insisting on examples.” (Sophie Grivaux, Zentralblatt MATH, Vol. 1246, 2012)
Authors and Affiliations
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Institut de Mathématique, Université de Mons, Mons, Belgium
Karl-G. Grosse-Erdmann
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Institut de Matemàtica Pura i Aplicada, Universitat Politècnica de València, València, Spain
Alfred Peris Manguillot
Bibliographic Information
Book Title: Linear Chaos
Authors: Karl-G. Grosse-Erdmann, Alfred Peris Manguillot
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-4471-2170-1
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2011
Softcover ISBN: 978-1-4471-2169-5Published: 24 August 2011
eBook ISBN: 978-1-4471-2170-1Published: 24 August 2011
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XII, 388
Number of Illustrations: 28 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Functional Analysis, Operator Theory