| A Note on the Browder＇s and Weyl＇s Theorem |
| |
| 作者姓名： | M. AMOUCH, H. ZGUITTI |
| |
| 作者单位： | [1]Department of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, Morocco; [2]Department of Mathematics, Faculty of Science of Rabat, B. O. 1014 Rabat, Morocco |
| |
| 基金项目： | Acknowledgements The authors are indebted to the referee for several helpful remarks and suggestions. |
| |
| 摘 要： | Let T be a Banach space operator, E（T） be the set of all isolated eigenvalues of T and π（T） be the set of all poles of T. In this work, we show that Browder＇s theorem for T is equivalent to the localized single-valued extension property at all complex numbers λ in the complement of the Weyl spectrum of T, and we give some characterization of Weyl＇s theorem for operator satisfying E（T） = π（T）. An application is also given.
|
| 关 键 词： | Weyl定理 Browder定理 单值扩张性质 巴拿赫空间 |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
