Completely  Positive  Definite  Maps  Over Topological*-algebras

数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 73-77.

Completely Positive Definite Maps Over Topological*-algebras

Department of Applied Mathematics,Beijing Institute of Technology,Beijing,100081

收稿日期:1995-11-28 出版日期:1996-12-30 发布日期:2024-12-23

Completely Positive Definite Maps Over Topological*-algebras

Department of Applied Mathematics,Beijing Institute of Technology,Beijing,100081

Received:1995-11-28 Online:1996-12-30 Published:2024-12-23

摘要/Abstract

摘要： In this paper,we discuss completely positive definite maps over topological*-algebras.A Schwarz type inequality for n-positive definite maps,and the Stinespring representation theorem for completely positive definite maps over topological*-algebras are given.

关键词: topological*-algebra;n-positive definite maps;completely positive definite map, schwarz type inequality;Stinespring representation theorem

Abstract: In this paper,we discuss completely positive definite maps over topological*-algebras.A Schwarz type inequality for n-positive definite maps,and the Stinespring representation theorem for completely positive definite maps over topological*-algebras are given.

Key words: topological*-algebra;n-positive definite maps;completely positive definite map, schwarz type inequality;Stinespring representation theorem

中图分类号:

O189

许天周. Completely Positive Definite Maps Over Topological*-algebras[J]. 数学季刊, 1996, 11(4): 73-77.

Xu Tianzhou. Completely Positive Definite Maps Over Topological*-algebras[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(4): 73-77.

[1]	庞茹一, 陈巧玲. 具有食饵避难所的离散捕食者-食饵模型的余维二分支分析[J]. 数学季刊, 2024, 39(2): 128-143.
[2]	任世全, 王冲. 有向图的加权解析挠率[J]. 数学季刊, 2023, 38(1): 30-49.
[3]	林奕武. Orbifold 基本群和 Deck 变换群[J]. 数学季刊, 2022, 37(2): 147-161.
[4]	曹春芳, 沈荣鑫. 广义拓扑空间中的积和对角映射[J]. 数学季刊, 2019, 34(4): 343-351.
[5]	韩艳, 许绍元, 董延寿. 具有Banach代数的半序锥b-度量空间的一类改进[J]. 数学季刊, 2019, 34(1): 43-51.
[6]	陈叔瑾. 解析簇上Leray-Stokes型积分表示公式[J]. 数学季刊, 2018, 33(4): 395-416.
[7]	朴勇杰. 次可加集值映射的可加选择映射的存在性定理的改进[J]. 数学季刊, 2017, 32(2): 187-193.
[8]	曲立敏 , 朱季云. 测度空间上的Lévy-Prohorov距离[J]. 数学季刊, 2017, 32(1): 42-48.
[9]	李晓婷, 林福财. 几乎局部紧空间在什么条件下是超完全空间[J]. 数学季刊, 2016, 31(4): 430-434.
[10]	张可秀 , 刘鑫 , 唐忠宝. 拓扑群的注记[J]. 数学季刊, 2016, 31(1): 82-86.
[11]	王志成. 正合范畴中的Gorenstein性和Tate上同调[J]. 数学季刊, 2015, 30(1): 79-92.
[12]	陈东立, 张彦. 不可约集与Sober空间[J]. 数学季刊, 2014, 29(4): 501-504.
[13]	朴勇杰, 李春花. 具有凸性的锥度量空间中可数个非自映射的公共不动点[J]. 数学季刊, 2014, 29(2): 221-230.
[14]	韩国强, 姚海楼. 双列关联代数[J]. 数学季刊, 2014, 29(2): 244-246.
[15]	李克典. 锥度量空间的完备性[J]. 数学季刊, 2013, 28(4): 565-572.

Completely Positive Definite Maps Over Topological*-algebras

Completely Positive Definite Maps Over Topological*-algebras

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价