Blaschke cocycles and generators

Junichi Tanaka

Research output: Contribution to journalArticle

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

Fingerprint

Cocycle
Invariant Subspace
Generator
Thing
If and only if
Decompose
Class

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Blaschke cocycles and generators. / Tanaka, Junichi.

In: Pacific Journal of Mathematics, Vol. 142, No. 2, 1990, p. 357-378.

Research output: Contribution to journalArticle

Tanaka, J 1990, 'Blaschke cocycles and generators', Pacific Journal of Mathematics, vol. 142, no. 2, pp. 357-378.
Tanaka, Junichi. / Blaschke cocycles and generators. In: Pacific Journal of Mathematics. 1990 ; Vol. 142, No. 2. pp. 357-378.
@article{aef8f1affc12415cabcffa7467ea8c99,
title = "Blaschke cocycles and generators",
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.",
author = "Junichi Tanaka",
year = "1990",
language = "English",
volume = "142",
pages = "357--378",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "University of California, Berkeley",
number = "2",

}

TY - JOUR

T1 - Blaschke cocycles and generators

AU - Tanaka, Junichi

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84974000591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84974000591&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84974000591

VL - 142

SP - 357

EP - 378

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -