Remarks on Complex Symmetric Operators
- 주제(키워드) Complex symmetric operator , Invariant subspace , Spectral radius algebra
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Birkhauser Verlag AG
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000114234
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00009-015-0520-8
초록/요약
An operator (Formula presented.) is said to be complex symmetric if there exists a conjugation C on (Formula presented.) such that (Formula presented.). In this paper, we study the spectral radius algebras for complex symmetric operators. In particular, we prove that if A is a complex symmetric operator, then the spectral radius algebra (Formula presented.) associated with A has a nontrivial invariant subspace under some conditions. Finally, we give some relations between (Formula presented.) and (Formula presented.) (defined below) when A is complex symmetric.
more