Banach*代数中半序的某些性质

华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (1): 23-27.

Banach^*代数中半序的某些性质

魏常果

华东师范大学数学系, 上海 200062

收稿日期:2003-04-29 修回日期:2003-06-18 出版日期:2005-03-25 发布日期:2005-03-25
通讯作者: 魏常果

Some Properties of Partial Order in Banach^* Algebras(Chinese)

WEI Chang-guo

Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:2003-04-29 Revised:2003-06-18 Online:2005-03-25 Published:2005-03-25
Contact: WEI Chang-guo

摘要/Abstract

摘要： 研究了 Banach^*代数与 C^*代数中半序的某些性质,证明了在 C^*代数中, 包含正元的乘锥是唯一的,并给出了Banach^*代数成为 C^*代数的一些充分条件.

关键词: Banach^*代数, C^*数, 乘锥, 正元, Banach^*代数, C^*数, 乘锥, 正元

Abstract: Some problems on the partial order in Banach^* algebras and C^*-algebras are studied. The uniqueness of the multiplicative cone which contains all the positive elements of the C^*-algebra is discussed. Conditions of Banach^* algebras becoming C^*- algebras are presented.

Key words: C^*-algebra, multiplicative cone, positive element, Banach ^* algebra, C^*-algebra, multiplicative cone, positive element

中图分类号:

O177.1

魏常果. Banach^*代数中半序的某些性质[J]. 华东师范大学学报(自然科学版), 2005, 2005(1): 23-27.

WEI Chang-guo. Some Properties of Partial Order in Banach^* Algebras(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2005, 2005(1): 23-27.