Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:447

Article

Sain, Debmalya¹ 

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

关键词: Birkhoff-James orthogonality;    Linear operators;    Norm attainment;    Left symmetry of orthogonality;   

DOI  :  10.1016/j.jmaa.2016.10.064

来源: Elsevier

【 摘 要 】

In this paper we characterize Birkhoff-James orthogonality of linear operators defined on a finite dimensional real Banach space X. We also explore the left symmetry of Birkhoff-James orthogonality of linear operators defined on X. Using some of the related results proved in this paper, we finally prove that T is an element of L(l(p)(2)) (p >= 2,p not equal infinity) is left symmetric with respect to Birkhoff-James orthogonality if and only if T is the zero operator. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free