Using a local product decomposition, we establish a certain class of Blaschke cocycles with the property that a simply invariant subspace has a single generator if and only if its cocycle is cohomologous to one of this class. Some applications are also obtained. We show, among other things, every simply invariant subspace is approximated by a singly generated one as near as desired.
|Number of pages
|Pacific Journal of Mathematics
|Published - 1990
ASJC Scopus subject areas
- General Mathematics