Linear Chaos

Author:   Karl-G. Grosse-Erdmann ,  Alfred Peris Manguillot
Publisher:   Springer London Ltd
Edition:   2011 ed.
ISBN:  

9781447121695


Pages:   388
Publication Date:   24 August 2011
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Linear Chaos


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Full Product Details

Author:   Karl-G. Grosse-Erdmann ,  Alfred Peris Manguillot
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2011 ed.
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.611kg
ISBN:  

9781447121695


ISBN 10:   1447121694
Pages:   388
Publication Date:   24 August 2011
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Topological dynamics.- Hypercyclic and chaotic operators.- The Hypercyclicity Criterion.- Classes of hypercyclic and chaotic operators.- Necessary conditions for hypercyclicity and chaos.- Connectedness arguments in linear dynamics.- Dynamics of semigroups, with applications to differential equations.- Existence of hypercyclic operators.- Frequently hypercyclic operators.- Hypercyclic subspaces.- Common hypercyclic vectors.- Linear dynamics in topological vector spaces

Reviews

From the reviews: 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)


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-Gutierrez, 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)


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