1 citations · 1 across the 4 of their papers we have counts for
4 papers
Drazin invertibility of linear operators on quaternionic Banach spaces
El Hassan Benabdi, Mohamed Barraa
Let be a right linear operator on a two-sided quaternionic Banach space . The paper studies the Drazin inverse for right linear operators on a quaternionic Banach space. It…
The Spectral Theorem for Quaternionic Normal Operators
El Hassan Benabdi, Mohamed Barraa
Let be a right quaternionic Hilbert space and let be a bounded normal right quaternionic linear operator on . In this paper, we prove that there exis…
A new approach to the S-functional calculus
El Hassan Benabdi, Mohamed Barraa
In this paper, we first prove that the S-spectrum of a bounded right quaternionic linear operator on a two-sided quaternionic Banach space is a union of the spectrum of some bounde…
A formula for the numerical range of an elementary operator on C*-algebra
Mohamed Barraa
Let $\A$ be a algebra with unit element and unitary group Let and two tuples of elements in $\A.$ The elementary operator…