Blaschke cocycles and generators

Junichi Tanaka

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2 Citations (Scopus)

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 languageEnglish
Pages (from-to)357-378
Number of pages22
JournalPacific Journal of Mathematics
Volume142
Issue number2
Publication statusPublished - 1990
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

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