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.
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页码：212 / 231
页数：20
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