Spectral and Fredholm Theory involving the diagonal of a bounded linear operator
Assume that T is a bounded linear operator on a Banach space X. Let W be a closed T-invariant subspace of X. In this paper, the relationships between the spectral and Fredholm properties of T and those of the pair of operators T\y and T\y are studied (T\y is the restriction of T to W and Tw is the o...
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 |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16184 |
| Tartalmi kivonat: | Assume that T is a bounded linear operator on a Banach space X. Let W be a closed T-invariant subspace of X. In this paper, the relationships between the spectral and Fredholm properties of T and those of the pair of operators T\y and T\y are studied (T\y is the restriction of T to W and Tw is the operator determined by T on X/W). These results are applied to operators with infinite ascent or infinite strong descent |
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| Terjedelem/Fizikai jellemzők: | 237-250 |
| ISSN: | 0001-6969 |