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Dynamics of Linear Operators

By: Frederic Bayart Etienne Matheron (Author)

Ksh 14,940.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511577444

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: September 4th, 2009

Country of Publication: GB

Language: English

Physical Edition EAN: 9780521514965

Category: Functional analysis & transforms

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  • Description

  • Author Bio

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.

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