On complex symmetric operator matrices
- 주제(키워드) A-Weyl's theorem , Complex symmetric operator , Decomposable , Property (beta)
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press
- 발행년도 2013
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000095189
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jmaa.2013.04.056
초록/요약
An operator T∈L(H) is said to be complex symmetric if there exists a conjugation J on H such that T=JT*J. In this paper, we find several kinds of complex symmetric operator matrices and examine decomposability of such complex symmetric operator matrices and their applications. In particular, we consider the operator matrix of the form T=(AB0JA*J) where J is a conjugation on H. We show that if A is complex symmetric, then T is decomposable if and only if A is. Furthermore, we provide some conditions so that a-Weyl's theorem holds for the operator matrix T. © 2013.
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