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Blaschke cocycles and
generators
Jun-ichi Tanaka |
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Vol. 142 (1990), No. 2, 357–378
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Abstract |
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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. |
Mathematical Subject Classification 2000
Primary: 22C05
Secondary: 28C10
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Milestones
Received: 29 March 1988
Published: 1 April 1990
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Authors |
| Jun-ichi Tanaka | |
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