On subscalarity of some 2 x 2 class A operator matrices

被引：3
|
作者：
Jung, Sungeun [1 ]
Kim, Yoenha [1 ]
Ko, Eungil [2 ]
机构：
[1] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Subscalar; Class A operator; Invariant subspace; HYPONORMAL-OPERATORS;
D O I：
10.1016/j.laa.2012.08.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we provide some conditions for 2 x 2 operator matrices whose diagonal entries are class A operators to be subscalar. As a corollary, we get that such operators with rich spectra have nontrivial invariant subspaces. In addition, we show that the tensor product of a 2 x 2 upper triangular class A operator matrix and a class A operator has a scalar extension. Finally, we find some subscalar 2 x 2 operator matrices satisfying the operator equations ABA = A(2) and BAB = B-2. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1322 / 1338
页数：17
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