Paranormal operators and some operator equations
- 주제(키워드) Generalized Weyl’s theorem , Paranormal operator , Single valued extension property
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 University of Nis
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000115947
- 본문언어 영어
- Published As http://dx.doi.org/10.2298/FIL1506195A
초록/요약
Let a pair (A; B) of bounded linear operators acting on a Hilbert space be a solution of the operator equations ABA = A2 and BAB = B2. When A is a paranormal operator, we explore some behaviors of the operators AB, BA, and B. In particular, if A or A* is a polynomial root of paranormal operators, we show that Weyl type theorems are satisfied for the operators AB, BA, and B. © 2015 University of Nis. All Rights Reserved.
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