Dynamics of Linear Operators
Dynamics of Linear Operators
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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.
Author: Frédéric Bayart, Étienne Matheron
Publisher: Cambridge University Press
Published: 06/01/2009
Pages: 352
Binding Type: Hardcover
Weight: 1.36lbs
Size: 9.20h x 6.00w x 1.00d
ISBN: 9780521514965
Author: Frédéric Bayart, Étienne Matheron
Publisher: Cambridge University Press
Published: 06/01/2009
Pages: 352
Binding Type: Hardcover
Weight: 1.36lbs
Size: 9.20h x 6.00w x 1.00d
ISBN: 9780521514965
About the Author
Bayart, Frédéric: - Frédéric Bayart is a Professor in the Laboratoire de Mathématiques at Université Blaise Pascal, France.Matheron, Étienne: - Étienne Matheron is a Professor in the Laboratoire de Mathématiques de Lens at Université d'Artois, France.