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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A cocycle theorem with an application
to Rosenthal sets


Author: Peter Schwartz
Journal: Proc. Amer. Math. Soc. 124 (1996), 3689-3698
MSC (1991): Primary 47A99, 42A16, 42A55
MathSciNet review: 1328377
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Abstract: For certain Markov operators $T$ we show that bounded cocycles with respect to $T$ are coboundaries. This result is applied to show that certain translation invariant subspaces of functions on the unit circle have unexpected regularity properties.


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Additional Information

Peter Schwartz
Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
Email: schwartz@math.ohio-state.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03422-3
PII: S 0002-9939(96)03422-3
Received by editor(s): February 17, 1994
Received by editor(s) in revised form: March 25, 1995
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1996 American Mathematical Society