%0 Journal Article
%T On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Nabavi Sales, Seyed Mohammad Sadegh
%D 2019
%\ 02/01/2019
%V 13
%N 1
%P 153-163
%! On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras
%K Approximate orthogonality
%K Birkhoff--James orthogonality
%K Range-kernel orthogonality
%K $C^ast$-algebra
%K $ast$-orthogonality
%R 10.22130/scma.2018.62262.233
%X 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.
%U https://scma.maragheh.ac.ir/article_30861_f0543a2f5639a20e512cc2c244fb4bd2.pdf