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

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 pro...

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Bibliographic Details
Main Author: Seyed Mohammad Sadegh Nabavi Sales
Format: Article
Language:English
Published: University of Maragheh 2019-02-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_30861_f0543a2f5639a20e512cc2c244fb4bd2.pdf