Approximate ω-orthogonality and ω-derivation
Maryam Amyari, Marzieh Moradian Khibary · Mathematical Inequalities & Applications · 2021
We introduce the notion of approximate ω -orthogonality (referring to the numerical radius ω ) and investigate its significant properties.Let T,S ∈ B(H ) and ε ∈ [0,1) .We say that T is approximate ω -orthogonality to S and we writefor all λ ∈ C.We show that T ⊥ ε ω S if and only if infMathematics subject classification (2010): 47A12, 46B20, 46C05.