Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 267, Issue 9, Pages 3105-3124Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2014.08.003
Keywords
Polish group; Group of continuous functions; Group of measurable functions; Unitary representation
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Funding
- NSF [DMS-1001623]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1001623] Funding Source: National Science Foundation
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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. (C) 2014 Published by Elsevier Inc.
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