HYPERINVARIANT SUBSPACES FOR WEIGHTED COMPOSITION OPERATORS ON Lp([0,1]d)

被引：0

作者：

Androulakis, George ^{[1
]}

Flattot, Antoine ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

JOURNAL OF OPERATOR THEORY | 2011年 / 66卷 / 01期

关键词：

Invariant subspace; weighted composition operator; discrepancy; functional calculus; INVARIANT SUBSPACES; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main result of this paper is the existence of a hyperinvariant subspace of the weighted composition operator Tf = vf circle tau on L-p([0, 1](d)), (1 <= p <= infinity) when the weight v is in the class of "generalized polynomials" and the composition map is a bijective ergodic transform satisfying a given discrepancy estimates. The work is based on the construction of a functional calculus initiated by Wermer and generalized by Davie.

引用

页码：125 / 144

页数：20

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