OPERATOR RANGES AND NONCYCLIC VECTORS FOR THE BACKWARD SHIFT

被引：2

作者：

SAND, M ^{[1
]}

机构：

[1] UNIV CALIF RIVERSIDE,DEPT MATH,RIVERSIDE,CA 92521

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1995年 / 22卷 / 02期

关键词：

AMS 1991 Subject Classification: Primary: 47B35; 47B37; 47B38; Secondary:; 46E20; 46E22;

D O I：

10.1007/BF01208350

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we look at operators on the Hardy space H-2(D) with range containing all of the non-cyclic vectors of the backward shift. We show several classes of such operators must be surjective, including Toeplitz, Hankel and composition operators.

引用

页码：212 / 231

页数：20

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