Gehér, György and Titkos, Tamás and Virosztek, Dániel (2023) On isometries of Wasserstein spaces. RIMS KOKYUROKU BESSATSU, B93. pp. 239-250. ISSN 1881-6193
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Abstract
It is known that if p ≥ 1, then the isometry group of the metric space (X, ϱ) embeds into the isometry group of the Wasserstein space Wp(X, ϱ). Those isometries that belong to the image of this embedding are called trivial. In many concrete cases, all isometries are trivial, however, this is not always the case. The aim of this survey paper is to provide a structured overview of recent results concerning trivial and different types of nontrivial isometries.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 07 Sep 2023 13:21 |
| Last Modified: | 07 Sep 2023 13:21 |
| URI: | http://real.mtak.hu/id/eprint/172986 |
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