罗巴切夫斯基空间的保距算子
Distance preservers for Lobachevsky space
- University of Plymouth（普利茅斯大学）
- University of Delaware（特拉华大学）
- Indian Institute of Science（印度科学学院）
- University of California at Santa Barbara（加州大学圣巴巴拉分校）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究完成了洛伦茨-格拉姆矩阵逐元素保距算子类的完整刻画，解决了常负曲率下的相关分类问题，完善了Schoenberg的对应曲率分类框架。
AI中文摘要：
我们完整刻画了洛伦茨-格拉姆矩阵的逐元素保距算子类，这解决了Schoenberg提出的逐元素保距算子分类问题的常负曲率情形，对应零曲率（欧氏）和正常曲率（球面）情形的已解决情况。
英文摘要：
We obtain a complete description of the class of entrywise preservers of Lorentz-Gram matrices. This resolves, for the case of constant negative curvature, the classification of entrywise preservers obtained by Schoenberg in the zero-curvature (Euclidean) and constant-positive-curvature (spherical) settings. These preservers admit a Lévy--Khintchine-type representation and their asymptotic characteristics are related to Krein's classification of screw lines in Lobachevsky space. Connections with complete Nevanlinna--Pick kernels and Bochner subordination are also obtained.
