| Title:
|
A note on the $a$-Browder’s and $a$-Weyl’s theorems (English) |
| Author:
|
Amouch, M. |
| Author:
|
Zguitti, H. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
133 |
| Issue:
|
2 |
| Year:
|
2008 |
| Pages:
|
157-166 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $E^a(T)=\pi ^a(T),$ where $E^a(T)$ is the set of all eigenvalues of $T$ which are isolated in the approximate point spectrum and $\pi ^a(T)$ is the set of all left poles of $T.$ Some applications are also given. (English) |
| Keyword:
|
B-Fredholm operator |
| Keyword:
|
Weyl’s theorem |
| Keyword:
|
Browder’s thoerem |
| Keyword:
|
operator of Kato type |
| Keyword:
|
single-valued extension property |
| MSC:
|
47A10 |
| MSC:
|
47A11 |
| MSC:
|
47A53 |
| idZBL:
|
Zbl 1199.47067 |
| idMR:
|
MR2428311 |
| DOI:
|
10.21136/MB.2008.134059 |
| . |
| Date available:
|
2009-09-24T22:35:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134059 |
| . |
| Reference:
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