Weyl type theorems for operators satisfying the single-valued extension property |
| |
Authors: | Mohamed Amouch |
| |
Institution: | Department of Mathematics, Faculty of Science Semlalia, B.O. 2390, Marrakesh, Morocco |
| |
Abstract: | Let T be a bounded linear operator acting on a Banach space X such that T or its adjoint T∗ has the single-valued extension property. We prove that the spectral mapping theorem holds for the B-Weyl spectrum, and we show that generalized Browder's theorem holds for f(T) for every analytic function f defined on an open neighborhood U of σ(T). Moreover, we give necessary and sufficient conditions for such T to satisfy generalized Weyl's theorem. Some applications are also given. |
| |
Keywords: | B-Fredholm operator B-Weyl spectrum Generalized Weyl's theorem Single-valued extension property |
本文献已被 ScienceDirect 等数据库收录! |
|