k-Quasihyponormal operators are subscalar

被引：5
|
作者：
Ko, E
机构：
[1] Ewha Women's University,Department of Mathematics
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1997年 / 28卷 / 04期
关键词：
D O I：
10.1007/BF01309158
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we shall prove that if an operator T is an element of L(+H-2(1)) is an operator matrix of the form T = (0T(1) T3T2) where T-1 is hyponormal and T-3(K) = 0, then T is subscalar of order 2(k+1). Hence non-trivial invariant subspaces are known to exist if the spectrum of T has interior in the plane as a result of a theorem of Eschmeier and Prunarn (see [EP]). As a corollary we get that any k-quasihyponormal operators are subscalar.
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收藏
页码：492 / 499
页数：8
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