Dynamics of Linear Operators (Cambridge Tracts in Mathematics, Series Number 179) by Frédéric Bayart (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “The book under review is well developed, the material is well motivated and the selected topics that are explained include original results along with important simplifications of proofs from the existing research literature. The book has an extensive list of references covering the topics discussed, making it an excellent guide for students of the subject. Finally, this well-written book is a valuable resource for anyone working in Operator Theory, but it is also accessible to anyone with a reasonable background in functional analysis at the graduate level.” E.A. Galladro-Gutierrez, Mathematical Reviews Book Description The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. 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. Read more

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