A-valued norm parallelism in Hilbert A-modules

被引：0
|
作者：
Khalili, Ali [1 ]
Amyari, Maryam [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad 91735, Razavi Khorasan, Iran
来源：
AIMS MATHEMATICS | 2019年 / 4卷 / 03期
关键词：
Hilbert A-modules; preserving map; parallelism; A-valued norm parallelism;
D O I：
10.3934/math.2019.3.527
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define the concept of A-valued norm parallelism in a Hilbert A-module, and then we investigate some properties of this notion and present some characterizations of A-valued norm parallelism in a Hilbert A-module. We also show that if X and Y are two inner product A-modules and T : X -> Y is a linear map such that vertical bar Tx vertical bar = vertical bar x vertical bar then 7 preserves A-valued norm parallelism in both directions.
引用
收藏
页码：527 / 533
页数：7
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