Invariant subspaces for commuting contractions

被引：0

作者：

Eschmeier, J ^{[1
]}

机构：

[1] Univ Saarland, Fachbereich Chem, D-66041 Saarbrucken, Germany

来源：

JOURNAL OF OPERATOR THEORY | 2001年 / 45卷 / 02期

关键词：

invariant subspaces; commuting contractions; Harte spectrum; dual operator algebras; Henkin measures;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is Shown that each finite commuting system of contractions which possesses a unitary dilation and for which the Harte spectrum is dominating in the open unit polydisc possesses non-trivial joint invariant subspaces. Since by a well-known result of Ando each commuting pair of contractions admits a unitary dilation, we obtain in particular that each commuting pair of contractions with dominating Harte spectrum in the bidisc possesses non-trivial joint invariant subspaces.

引用

页码：413 / 443

页数：31

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