On m-Complex Symmetric Operators
- 주제(키워드) Decomposable , m-Complex symmetric operator , Single-valued extension property
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Birkhauser Verlag AG
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000118037
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00009-015-0597-0
초록/요약
In this paper, we study the spectral properties of m-complex symmetric operators. In particular, we prove that if T is m-complex symmetric with conjugation C, then Tn is also m-complex symmetric with conjugation C for any (Formula presented.) . Moreover, if T is m-complex symmetric with conjugation C, then T is decomposable if and only if (Formula presented.) has the property ((Formula presented.)). As some applications, we give several examples of m-complex symmetric operators with conjugation C. © 2015 Springer Basel
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