On scalar extensions and spectral decompositions of complex symmetric operators
- 주제(키워드) Complex symmetric operator , Decomposable , Property (Δ) , Spectral decompositions , Subscalar
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press
- 발행년도 2011
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000092615
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jmaa.2011.05.056
초록/요약
In this paper we prove that a complex symmetric operator with property (Δ) is subscalar. As a corollary, we get that such operators with rich spectra have nontrivial invariant subspaces. We also provide various relations for spectral decomposition properties between complex symmetric operators and their adjoints. © 2011 Elsevier Inc.
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