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A cocycle theorem with an application to Rosenthal sets
Author(s):
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  we show that bounded cocycles with respect to  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 4321
Email:
schwartz@math.ohio-state.edu
DOI:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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