The Operator-Valued Parallelism and Norm-Parallelism in Matrices

被引：0
|
作者：
Gohari, M. Mohammadi [1 ]
Amyari, M. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Razavi Khorasan, Iran
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 04期
关键词：
Hilbert C*-module; orthonormal basis; parallelism; Schatten p-norm; BIRKHOFF-JAMES ORTHOGONALITY; STABILITY; SYMMETRY; BASES;
D O I：
10.1007/s13226-020-0467-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let x210c; be a Hilbert space, and let K(x210c;) be the C-algebra of compact operators on x210c;. In this paper, we present some characterizations of the norm-parallelism for elements of a Hilbert K(x210c;)-module by employing the Birkhoff-James orthogonality. Among other things, we present a characterization of transitive relation of the norm-parallelism for elements in a certain Hilbert K(x210c;)-module. We also give some characterizations of the Schatten p-norms and the operator norm-parallelism for matrices.
引用
收藏
页码：1305 / 1316
页数：12
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