On subscalarity of some 2 × 2 class A operator matrices
- 주제(키워드) Class A operator , Invariant subspace , Subscalar
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier BV
- 발행년도 2013
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000094492
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.laa.2012.08.037
초록/요약
In this paper we provide some conditions for 2×2 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 2×2 upper triangular class A operator matrix and a class A operator has a scalar extension. Finally, we find some subscalar 2×2 operator matrices satisfying the operator equations ABA=A2 and BAB=B2. © 2012 Elsevier Inc. All rights reserved.
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