ダウンロード数: 110
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B93-12.pdf | 273.76 kB | Adobe PDF | 見る/開く |
| タイトル: | On isometries of Wasserstein spaces (Research on preserver problems on Banach algebras and related topics) |
| 著者: | GEHÉR György Pál TITKOS, Tamás VIROSZTEK, Dániel |
| キーワード: | 54E40 46E27 60B05 Wasserstein space shape-preserving isometries exotic isometries |
| 発行日: | Jul-2023 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B93 |
| 開始ページ: | 239 |
| 終了ページ: | 250 |
| 抄録: | 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. |
| 著作権等: | © 2023 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
| URI: | http://hdl.handle.net/2433/284881 |
| 出現コレクション: | B93 Research on preserver problems on Banach algebras and related topics |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。