C^*代数中的BirkhoffJames正交性  

The Birkhoff-James Orthogonality in C^*-algebras

作　　者：韩婷婷 刘树冬[1] HAN Tingting;LIU Shudong(School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China)

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165

出　　处：《湖州师范学院学报》2020年第4期8-13,共6页Journal of Huzhou University

基　　金：国家自然科学基金项目(11871303).

摘　　要：研究C^*-代数中的Birkhoff-James正交性.利用Birkhoff-James正交性的定义和性质,结合C^*-代数的方法,讨论C^*-代数中元素Birkhoff-James正交性的一些基本性质,并对正规元与单位元的Birkhoff-James正交性给出较好的刻画.In this paper,we mainly study the Birkhoff-James orthogonality in a C^*-algebra.By using the definition and properties of the Birkhoff-James orthogonality and some technique in a C^*-algebra,we give some elementary properties about the Birkhoff-James orthogonality of elements in a C^*-algebra.We also give some descriptions about the Birkhoff-James orthogonality of a normal element with the identity element.

关 键 词：C^*-代数 自伴元 正规元 Birkhoff-James正交 

分 类 号：O177.5[理学—数学]