Norm-parallelism in the geometry of Hilbert C*-modules

被引：22

作者：

Zamani, Ali ^{[1
]}

Moslehian, Mohammad Sal ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Ctr Excellence Anal Algebra Struct, POB 1159, Mashhad 91775, Iran

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2016年 / 27卷 / 01期

关键词：

Hilbert C*-module; State; Parallelism; Orthogonality; C*-algebra; BIRKHOFF-JAMES ORTHOGONALITY; OPERATORS;

D O I：

10.1016/j.indag.2015.10.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Utilizing the Birkhoff-James orthogonality, we present some characterizations of the norm-parallelism for elements of B (H) defined on a finite dimensional Hilbert space, elements of a Hilbert C*-module over the C*-algebra of compact operators and elements of an arbitrary C*-algebra. We also consider the characterization of norm parallelism problem for operators on a finite dimensional Hilbert space when the operator norm is replaced by the Schatten p-norm. Some applications and generalizations are discussed for certain elements of a Hilbert C*-module. (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：266 / 281

页数：16

共 14 条

[1] UNITARY APPROXIMATION OF POSITIVE OPERATORS [J].