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,...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16430 |
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| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Gao Fugen | |
| 245 | 1 | 0 | |a Generalized Weyl's theorem and spectral continuity for quasi-class (A, k) operators |h [elektronikus dokumentum] / |c Gao Fugen |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2012 | ||
| 300 | |a 241-250 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 78 No. 1-2 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Fang Xiaochun |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16430/1/math_078_numb_001_002_241-250.pdf |z Dokumentum-elérés |