2014.07.23 16:20
실적년도 | 2013년 |
---|---|
논문구분 | 국외 |
총저자 | Sungeun Jung, Eungil Ko |
학술지명 | Bulletin of the London Mathematical Society |
권(Vol.) | 45 |
호(No.) | 4 |
게재년월 | 2013년 8월 |
Impact Factor | |
SCI 등재 | SCI |
비고 |
In this paper, we study operators for which T*T and T + T* commute. Let Θ denote the class of such operators in L(H). We show that every operator in Θ is subscalar of order 4. From this result, we give partial solutions to the invariant subspace problem. In addition, we examine some extensions of operators in Θ. Finally, we prove that if T belongs to Θ, then Weyl's theorem holds for T and the spectral mapping theorem corresponding to the Weyl spectrum is satisfied for T.