Norms on C1 ([0, 1]) and their isometries

Kawamura, Kazuhiro and Koshimizu, Hironao and Miura, Takeshi: Norms on C1 ([0, 1]) and their isometries. In: Acta scientiarum mathematicarum, (84) 1-2. pp. 239-261. (2018)

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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]).

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2018
Volume: 84
Number: 1-2
ISSN: 0001-6969
Page Range: pp. 239-261
Official URL:
Uncontrolled Keywords: Izometria
Additional Information: Bibliogr.: p. 260-261. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 10. 10:35
Last Modified: 2019. Sep. 09. 13:44

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