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.
|ジャーナル||Pacific Journal of Mathematics|
|出版ステータス||Published - 1990|
ASJC Scopus subject areas
- 数学 (全般)