Generalized Weyl's theorem and spectral continuity for quasi-class (A, k) operators
If T or T* is an algebraically quasi-class (A, k) operator acting on an infinite-dimensional separable Hilbert space, then we prove that generalized Weyl's theorem holds for f(T) for every / e H(cr(T)), where H(a(T)) denotes the set of all analytic functions in a neighborhood of a(T). Moreover,...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
|
| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16430 |
| Tartalmi kivonat: | If T or T* is an algebraically quasi-class (A, k) operator acting on an infinite-dimensional separable Hilbert space, then we prove that generalized Weyl's theorem holds for f(T) for every / e H(cr(T)), where H(a(T)) denotes the set of all analytic functions in a neighborhood of a(T). Moreover, if T* is an algebraically quasi-class (A, k) operator, then generalized a-Weyl's theorem holds for f(T) for every / € H{a{T)). Also, we prove that the spectrum, Weyl spectrum and Browder spectrum are continuous on the class of all quasi-class (A, k) operators. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 241-250 |
| ISSN: | 0001-6969 |