Norms on C1 ([0, 1]) and their isometries
We present a unified framework to study isometries, with respect to various norms, on C 1 ([0, 1]), the space of continuously first differentiable functions on the unit interval [0, 1]. We also discuss continuous deformations of isometry groups induced by perturbations of norms on C 1 ([0, 1]).
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 1-2 |
| Kulcsszavak: | Izometria |
| Online Access: | http://acta.bibl.u-szeged.hu/55813 |
| Tartalmi kivonat: | We present a unified framework to study isometries, with respect to various norms, on C 1 ([0, 1]), the space of continuously first differentiable functions on the unit interval [0, 1]. We also discuss continuous deformations of isometry groups induced by perturbations of norms on C 1 ([0, 1]). |
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| Terjedelem/Fizikai jellemzők: | 239-261 |
| ISSN: | 0001-6969 |