INVARIANT SUBSPACES AND KERNELS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE

被引：0
|
作者：
Das, Namita [1 ]
机构：
[1] Utkal Univ, PG Dept Math, Bhubaneswar 751004, Orissa, India
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2014年 / 44卷 / 01期
关键词：
Toeplitz operators; Hankel operators; Bergman space; finite-rank operators; reproducing kernel;
D O I：
10.1216/RMJ-2014-44-1-35
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we have shown that if phi is an element of (L-h(2))(perpendicular to) boolean AND L-infinity, phi not equal 0, then ker T-phi = ker T-phi(*) = sp{1} and therefore finite- dimensional subspaces of L-a(2). Further, if phi is an element of L-infinity (D), phi not equal 0, then it is shown that the Toeplitz operator T-phi cannot be of finite rank.
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页码：35 / 56
页数：22
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