On the Relation Between Distances and Seminorms on Fréchet Spaces, with Application to Isometries
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of the function that defines the metric in terms of the seminorms to ensure that a linear operator preserving the metric also...
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| Main Authors: | Isabelle Chalendar, Lucas Oger, Jonathan R. Partington |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/13/2053 |
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