Quasi-Fredholm operators and localized SVEP
A localized version of the single-extension property is studied, for a bounded linear operator T acting on a Banach space, at the points A e € such that A7 — T is quasi-Fredholm. This property is also studied at the points A 6 C which are not limit points of the approximate point spectrum and the su...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2007
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| Sorozat: | Acta scientiarum mathematicarum
73 No. 1-2 |
| Kulcsszavak: | Matematika, Kvázi-Fredholm operátor, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16185 |
| Tartalmi kivonat: | A localized version of the single-extension property is studied, for a bounded linear operator T acting on a Banach space, at the points A e € such that A7 — T is quasi-Fredholm. This property is also studied at the points A 6 C which are not limit points of the approximate point spectrum and the surjectivity spectrum. As a consequence, we improve a classical Putnam result about the non-isolated boundary points of the spectrum. From the characterizations of this property we shall also deduce several results on cluster points of some distinguished parts of the spectrum. |
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| Terjedelem/Fizikai jellemzők: | 251-263 |
| ISSN: | 0001-6969 |