Properties of m-complex symmetric operators
- 주제(키워드) Conjugation , Decomposable , m-complex symmetric operator , Nilpotent perturbations , Weyl type theorems
- 지원기관 Ministry of Education
- 관리정보기술 faculty
- 등재 SCOPUS
- 발행기관 Babes-Bolyai University
- 발행년도 2017
- URI http://www.dcollection.net/handler/ewha/000000155691
- 본문언어 영어
- Published As http://dx.doi.org/10.24193/subbmath.2017.2.09
초록/요약
In this paper, we study several properties of m-complex symmetric operators. In particular, we prove that if T ε L(H) is an m-complex symmetric operator and N is a nilpotent operator of order n > 2 with TN = NT, then T + N is a (2n+m-2)-complex symmetric operator. Moreover, we investigate the decomposability of T+A and TA where T is an m-complex symmetric operator and A is an algebraic operator. Finally, we provide various spectral relations of such operators. As some applications of these results, we discuss Weyl type theorems for such operators.
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