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一类Uhlhorn-Wigner定理的推广(英文)
  • ISSN号：1006-6837
  • 期刊名称：数学研究
  • 时间：0
  • 页码：107-114
  • 分类：O15[理学—数学;理学—基础数学]
  • 作者机构：[1]太原理工大学,山西太原030024
  • 相关基金：supported by NSFC（11171249,11126127）
  • 相关项目：广义数值域及保广义数值域映射
作者： 贺衎|侯晋川|
关键词： Uhlhorn-Wigner定理, 单调内积, 投影算子, Wigner＇s theorem, Monotone inner products, Projections
中文摘要：

投影算子集合是量子力学理论中的重要概念之一.利用几何平均值单调内积得到了量子力学基本定理之一Uhlhorn-Wigner定理在投影算子集合上的一类推广.

英文摘要：

Certain operator structures play a fundamental role in the theory of quantum me- chanics, such as the set of projections. In this paper, we give an analogue of Uhlhorn＇s version of Wigner＇s theorem on such operator structures for the monotone inner product associated with geometric mean.

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广义数值域及保广义数值域映射
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期刊信息
  • 《数学研究》
  • 主管单位:厦门大学
  • 主办单位:厦门大学数学科学学院 福建省数学会
  • 主编：林群
  • 地址：厦门大学数学系
  • 邮编：361005
  • 邮箱：jmaths@xmu.edu.cn
  • 电话：0592-2580752 21828321
  • 国际标准刊号：ISSN：1006-6837
  • 国内统一刊号：ISSN：35-1177/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘
  • 被引量:1284