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) |
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Pages (from-to) | 3105-3124 |
Number of pages | 20 |
Journal | Journal of Functional Analysis |
Volume | 267 |
Issue number | 9 |
DOIs | |
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