2012年
Isometries and maps compatible with inverted Jordan triple products on groups
Tokyo J.Math.
- ,
- ,
- ,
- ,
- 巻
- 35
- 号
- 2
- 開始ページ
- 385-410
- 終了ページ
- 410
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER
Motivated by the famous Mazur-Ulam theorem in this paper we study algebraic properties of isometries between metric groups. We present some general results on so-called d-preserving maps between subsets of groups and apply them in several directions. We consider d-preserving maps on certain groups of continuous functions defined on compact Hausdorff spaces and describe the structure of isometries between groups of functions mapping into the circle group T. Finally, we show a generalization of the Mazur-Ulam theorem for commutative groups and present a metric characterization of normed real-linear spaces among commutative metric groups.
- リンク情報
- ID情報
-
- ISSN : 0387-3870
- Web of Science ID : WOS:000314580900011