MLACEY@IUBACS.BITNET (MICHAEL LACEY) (07/21/90)
I have a question about cofactors: Could the following be true? If a dynamical system is compact, metric and the map T is continous, is every function f in L(2) (or L(p) for p bigger than 1) cohomolgous to a continous function? My own training is in probability theory, and my reading in the relevant literature seems to suggest the the result above is a "folk theorem" Can any on e provide me with a reference? Is the result known in special cases, like irrational rotations? Michael Lacey mlacey@iubacs Dept of math Indiana University Bloomington IN 47405