Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers

T. Alastair Gillespie

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Firstly, we consider when certain invertible isometrics on Banach spaces have (bounded linear) logarithms and when they are trigonometrically well bounded, i.e., have spectral decompositions similar to that of a unitary operator. We then survey aspects of the theory of trigonometrically well-bounded operators, including an outline of some recent results.

Original languageEnglish
Title of host publicationVECTOR MEASURES, INTEGRATION AND RELATED TOPICS
EditorsGP Curbera, G Mockenhaupt, WJ Ricker
Place of PublicationBASEL
PublisherBirkhauser Verlag AG
Pages215-229
Number of pages15
ISBN (Print)978-3-0346-0210-5
Publication statusPublished - 2010

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