Dynamics of Linear Operators (Cambridge Tracts in Mathematics, Series Number 179) - Hardcover

Bayart, Frédéric; Matheron, Étienne

Hardcover

ISBN 10: 0521514967 ISBN 13: 9780521514965

Publisher: Cambridge University Press, 2009

Synopsis

The dynamics of linear operators is a young and rapidly evolving branch of functional analysis. In this book, which focuses on hypercyclicity and supercyclicity, the authors assemble the wide body of theory that has received much attention over the last fifteen years and present it for the first time in book form. Selected topics include various kinds of 'existence theorems', the role of connectedness in hypercyclicity, linear dynamics and ergodic theory, frequently hypercyclic and chaotic operators, hypercyclic subspaces, the angle criterion, universality of the Riemann zeta function, and an introduction to operators without non-trivial invariant subspaces. Many original results are included, along with important simplifications of proofs from the existing research literature, making this an invaluable guide for students of the subject. This book will be useful for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.

About this title

Book Description

The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.

About the Author

Frédéric Bayart is a Professor in the Laboratoire de Mathématiques at Université Blaise Pascal, France.

Étienne Matheron is a Professor in the Laboratoire de Mathématiques de Lens at Université d'Artois, France.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• ISBN 10: 0521514967
• ISBN 13: 9780521514965
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 352