形式扩展的唯一性与半群的支配性
泛函分析
2020-08-04 v3
摘要
在本文中，我们提出了一种在相当一般的设定下研究形式扩展唯一性的新方法。该方法基于有序希尔伯特空间理论和半群支配性概念。我们的主要抽象结果是将支配形式的形式扩展唯一性传递到被支配形式。该结果可应用于多种示例，包括图和流形上的各种磁薛定谔形式。
引用
@article{arxiv.1608.06798,
title = {Uniqueness of form extensions and domination of semigroups},
author = {Daniel Lenz and Marcel Schmidt and Melchior Wirth},
journal= {arXiv preprint arXiv:1608.06798},
year = {2020}
}
备注
The previous version of this article has been split. This version contains the material of the second part, the first part can be found at arXiv:1711.07225. This article is partly based on the third named author's master's thesis (arXiv:1604.05114)