TY - JOUR
ID - 30861
TI - On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Nabavi Sales, Seyed Mohammad Sadegh
AD - Department of Mathematics, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran.
Y1 - 2019
PY - 2019
VL - 13
IS - 1
SP - 153
EP - 163
KW - Approximate orthogonality
KW - Birkhoff--James orthogonality
KW - Range-kernel orthogonality
KW - $C^ast$-algebra
KW - $ast$-orthogonality
DO - 10.22130/scma.2018.62262.233
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_30861.html
L1 - https://scma.maragheh.ac.ir/article_30861_f0543a2f5639a20e512cc2c244fb4bd2.pdf
ER -