Unitary representations of the groups of measurable and continuous functions with values in the circle

Sławomir Solecki

doi:10.1016/j.jfa.2014.08.003

Unitary representations of the groups of measurable and continuous functions with values in the circle

Sławomir Solecki

Research output: Contribution to journal › Article › peer-review

Abstract

We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle. In the proofs of our classification results, certain structure theorems and factorization theorems for linear operators are used.

Original language	English (US)
Pages (from-to)	3105-3124
Number of pages	20
Journal	Journal of Functional Analysis
Volume	267
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2014.08.003
State	Published - Nov 1 2014
Externally published	Yes

Keywords

Group of continuous functions
Group of measurable functions
Polish group
Unitary representation

ASJC Scopus subject areas

Analysis

Online availability

10.1016/j.jfa.2014.08.003

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abstract = "We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle. In the proofs of our classification results, certain structure theorems and factorization theorems for linear operators are used.",

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AB - We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle. In the proofs of our classification results, certain structure theorems and factorization theorems for linear operators are used.

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KW - Unitary representation

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Unitary representations of the groups of measurable and continuous functions with values in the circle

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

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