HANKEL OPERATORS, INVARIANT SUBSPACES, AND CYCLIC VECTORS IN THE DRURY-ARVESON SPACE

被引：17

作者：

Richter, Stefan ^{[1
]}

Sunkes, James ^{[1
]}

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 06期

关键词：

DIRICHLET SPACE; BERGMAN SPACE; FORMULA;

D O I：

10.1090/proc/12922

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every nonzero invariant subspace of the Drury-Arveson space H-d(2) of the unit ball of C-d is an intersection of kernels of little Hankel operators. We use this result to show that if f and 1/f is an element of H-d(2), then f is cyclic in H-d(2).

引用

收藏

页码：2575 / 2586

页数：12

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