Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 357-378 |
| Number of pages | 22 |
| Journal | Pacific Journal of Mathematics |
| Volume | 142 |
| Issue number | 2 |
| Publication status | Published - 1990 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Tanaka, J. (1990). Blaschke cocycles and generators. Pacific Journal of Mathematics, 142(2), 357-378.