Abstract
LetT ∈B(H) be a bounded linear operator on a complex Hilbert spaceH. Let λ0 ∈ σ(T) be an isolated point of σ(T) and let\(E = \frac{1}{{2\pi i}}\int_{\left| {\lambda - \lambda _0 } \right| = r} {\left( {\lambda - T} \right)^{ - 1} d\lambda } \) be the Riesz idempotent for λ0. In this paper, we prove that ifT isp-hyponormal or log-hyponormal, thenE is self-adjoint andEH=ker(H−λ0)=ker(H−λ0*.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
