1. A note on the a-Browder’s and a-Weyl’s theorems
- Creator:
- Amouch, M. and Zguitti, H.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- B-Fredholm operator, Weyl’s theorem, Browder’s thoerem, operator of Kato type, and single-valued extension property
- Language:
- English
- Description:
- Let T be a Banach space operator. In this paper we characterize a-Browder’s theorem for T by the localized single valued extension property. Also, we characterize a-Weyl’s theorem under the condition E a (T) = π a (T), where E a (T) is the set of all eigenvalues of T which are isolated in the approximate point spectrum and π a (T) is the set of all left poles of T. Some applications are also given.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public