On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras

Sahand Communications in Mathematical Analysis

Seyed Mohammad Sadegh Nabavi Sales¹ 

[1] Department of Mathematics, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran.;

关键词: Approximate orthogonality;    Birkhoff--James orthogonality;    Range-kernel orthogonality;    $C^ast$-algebra;    $ast$-orthogonality;   

DOI  :  10.22130/scma.2018.62262.233

来源: DOAJ

【 摘 要 】

We offer a new definition of $varepsilon$-orthogonality in normed spaces, and we try to explain some properties of which. Also we introduce some types of $varepsilon$-orthogonality in an arbitrary  $C^ast$-algebra $mathcal{A}$, as a Hilbert $C^ast$-module over itself, and investigate some of its properties in such spaces. We state some results relating range-kernel orthogonality in $C^*$-algebras.

【 授权许可】

Unknown