TY - JOUR
T1 - Unitary representations of the groups of measurable and continuous functions with values in the circle
AU - Solecki, Sławomir
N1 - Funding Information:
Research supported by NSF grant DMS-1001623 .
Publisher Copyright:
© 2014.
PY - 2014/11/1
Y1 - 2014/11/1
N2 - 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.
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.
KW - Group of continuous functions
KW - Group of measurable functions
KW - Polish group
KW - Unitary representation
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U2 - 10.1016/j.jfa.2014.08.003
DO - 10.1016/j.jfa.2014.08.003
M3 - Article
AN - SCOPUS:84908138623
VL - 267
SP - 3105
EP - 3124
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 9
ER -