Dynamics of linear operators

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 tim...

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Detalles Bibliográficos
Autor principal: Bayart, Frédéric (-)
Otros Autores: Matheron, Étienne
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press 2009.
Colección:EBSCO Academic eBook Collection Complete.
Cambridge tracts in mathematics ; 179.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b38402610*spi
Descripción
Sumario: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.
Descripción Física:xiv, 337 p.
Formato:Forma de acceso: World Wide Web.
Bibliografía:Incluye referencias bibliográficas (p. 321-330) e índice.
ISBN:9780511580796