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 :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2018
|
| Sorozat: | Acta scientiarum mathematicarum
84 No. 1-2 |
| Kulcsszavak: | Izometria, Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/55813 |
| LEADER | 01129nab a2200241 i 4500 | ||
|---|---|---|---|
| 001 | acta55813 | ||
| 005 | 20260219144051.0 | ||
| 008 | 181110s2018 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Kawamura Kazuhiro | |
| 245 | 1 | 0 | |a Norms on C1 ([0, 1]) and their isometries |h [elektronikus dokumentum] / |c Kawamura Kazuhiro |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2018 | ||
| 300 | |a 239-261 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 84 No. 1-2 | |
| 520 | 3 | |a 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]). | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Izometria, Matematika | ||
| 700 | 0 | 1 | |a Koshimizu Hironao |e aut |
| 700 | 0 | 1 | |a Miura Takeshi |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/55813/1/math_084_numb_001-002_239-261.pdf |z Dokumentum-elérés |