A cocycle theorem with an application to Rosenthal sets

Schwartz, Peter

doi:10.1090/S0002-9939-96-03422-3

A cocycle theorem with an application to Rosenthal sets
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Proc. Amer. Math. Soc. 124 (1996), 3689-3698 Request permission

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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