Riesz Idempotent and Algebraically M-hyponormal Operators |
| |
Authors: | Muneo Chō Young Min Han |
| |
Affiliation: | (1) Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan;(2) Department of Mathematics, Kyunghee University, Seoul, 130-701, Korea |
| |
Abstract: | Let T be an M-hyponormal operator acting on infinite dimensional separable Hilbert space and let be the Riesz idempotent for λ0, where D is a closed disk of center λ0 which contains no other points of σ (T). In this note we show that E is self-adjoint and As an application, if T is an algebraically M-hyponormal operator then we prove : (i) Weyl’s theorem holds for f(T) for every (ii) a-Browder’s theorem holds for f(S) for every and f ∈ H(σ(S)); (iii) the the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T. |
| |
Keywords: | Primary 47A10 47A53 47B20 |
本文献已被 SpringerLink 等数据库收录! |
|