|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
18 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Weyl's theorem, a-Weyl's theorem, and local spectral theory | | Raul E. Curto
; Young Min Han
; | | Date: |
6 Jul 2002 | | Journal: | J. London Math. Soc. (2) 67(2003), 499-509 | | Subject: | Functional Analysis; Spectral Theory MSC-class: 47A10; 47A53; 47A11 | math.FA math.SP | | Abstract: | We give necessary and sufficient conditions for a Banach space operator with the single valued extension property (SVEP) to satisfy Weyl’s theorem and $a$-Weyl’s theorem. We show that if $T$ or $T^{ast}$ has SVEP and $T$ is transaloid, then Weyl’s theorem holds for $f(T)$ for every $fin H(sigma (T))$. When $T^{ast}$ has SVEP, $T$ is transaloid and $T$ is $a$-isoloid, then $a$-Weyl’s theorem holds for $f(T)$ for every $fin H(sigma (T))$. We also prove that if $T$ or $T^{ast}$ has SVEP, then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum. | | Source: | arXiv, math.FA/0207064 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER