지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
J. G. Stampfli proved that if a bounded linear operator $T$ on a Hilbert space $\mathscr H$ satisfies ($G_1$) property, then the Riesz projection $P_{\lambda}$ associated with $\lambda\in{\rm iso}\sigma(T)$ is self-adjoint and $P_{\lambda}\mathscr{H}=(T - \lambda)^{-1}(0)=(T^{*} - \bar{\lambda})^{-1}(0)$.
In this note we show that Stampfli's result is generalized to an nilpotent extension of an operator having ($G_1$) property.
목차
등록된 정보가 없습니다.
참고문헌 (13)
참고문헌 신청
M. Cho / 2002 / Isolated points of the spectrum of p-hyponormal and log-hyponormal operators / Integr. Equat. Oper. Th 43:379~384
B. P. Duggal / 2005 / Riesz projections for a class of Hilbert space operators / Linear Algebra Appl 407:140~148
B. P. Duggal / 2005 / Hereditarily normaloid operators / Extracta Math 20:203~217
Y. M. Han / 2004 / A note on ★-paranormal operators / Integr. Equat. Oper. Th 49:435~444
J. K. Han / 2000 / Invertible completions of 2 × 2 upper triangular operator matrices / Proc. Amer. Math. soc 128:119~123
B. P. Duggal / 2005 / Riesz projections for a class of Hilbert space operators / Linear Algebra Appl 407:140~148
B. P. Duggal / 2005 / Hereditarily normaloid operators / Extracta Math 20:203~217
Y. M. Han / 2004 / A note on ★-paranormal operators / Integr. Equat. Oper. Th 49:435~444
J. K. Han / 2000 / Invertible completions of 2 × 2 upper triangular operator matrices / Proc. Amer. Math. soc 128:119~123
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