| Title:
|
B-Fredholm and Drazin invertible operators through localized SVEP (English) |
| Author:
|
Amouch, M. |
| Author:
|
Zguitti, H. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
39-49 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$. We denote by $S(T)$ the set of all complex $\lambda \in \mathbb C$ such that $T$ does not have the single-valued extension property at $\lambda $. In this note we prove equality up to $S(T)$ between the left Drazin spectrum, the upper semi-B-Fredholm spectrum and the semi-essential approximate point spectrum. As applications, we investigate generalized Weyl's theorem for operator matrices and multiplier operators. (English) |
| Keyword:
|
B-Fredholm operator |
| Keyword:
|
Drazin invertible operator |
| Keyword:
|
single-valued extension property |
| MSC:
|
47A10 |
| MSC:
|
47A11 |
| MSC:
|
47A53 |
| MSC:
|
47A55 |
| idZBL:
|
Zbl 1216.47018 |
| idMR:
|
MR2807707 |
| DOI:
|
10.21136/MB.2011.141448 |
| . |
| Date available:
|
2011-03-31T11:23:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141448 |
| . |
| Reference:
|
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| Reference:
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