Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers

T. Alastair Gillespie

Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers

T. Alastair Gillespie

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	VECTOR MEASURES, INTEGRATION AND RELATED TOPICS
Editors	GP Curbera, G Mockenhaupt, WJ Ricker
Place of Publication	BASEL
Publisher	Birkhauser Verlag AG
Pages	215-229
Number of pages	15
ISBN (Print)	978-3-0346-0210-5
Publication status	Published - 2010

Cite this

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title = "Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers",

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.",

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T1 - Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers

AU - Gillespie, T. Alastair

PY - 2010

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N2 - 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.

AB - 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.

M3 - Conference contribution

SN - 978-3-0346-0210-5

SP - 215

EP - 229

BT - VECTOR MEASURES, INTEGRATION AND RELATED TOPICS

A2 - Curbera, GP

A2 - Mockenhaupt, G

A2 - Ricker, WJ

PB - Birkhauser Verlag AG

CY - BASEL

ER -

Logarithms of Invertible Isometries, Spectral Decompositions and Ergodic Multipliers

Abstract

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