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

Sławomir Solecki

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)3105-3124
Number of pages20
JournalJournal of Functional Analysis
Volume267
Issue number9
DOIs
StatePublished - Nov 1 2014

Keywords

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

ASJC Scopus subject areas

  • Analysis

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