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
收藏
页码：413 / 443
页数：31
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