On the existence of n-isometries on lp spaces
In this paper we consider the notion of n-isometry on a Banach space. We determine the existence of non-isometric 2-isometries for the classes of weighted shifts and composition operators on £p spaces. We also address similar questions for weighted composition operators acting on the space of scalar...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
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| Sorozat: | Acta scientiarum mathematicarum
76 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16345 |
| Tartalmi kivonat: | In this paper we consider the notion of n-isometry on a Banach space. We determine the existence of non-isometric 2-isometries for the classes of weighted shifts and composition operators on £p spaces. We also address similar questions for weighted composition operators acting on the space of scalar valued continuous functions, defined on a compact Hausdorff topological space. |
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| Terjedelem/Fizikai jellemzők: | 183-192 |
| ISSN: | 0001-6969 |