M. Barraa

most citedA new approach to the S-functional calculus

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2020

The Spectral Theorem for Quaternionic Normal Operators

El Hassan Benabdi, Mohamed Barraa

Let $H$ be a right quaternionic Hilbert space and let $T$ be a bounded normal right quaternionic linear operator on $H$ . In this paper, we prove that there exis…

math.FA2020★ 1 cited

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…

math.OA2015

A formula for the numerical range of an elementary operator on C*-algebra

Mohamed Barraa

Let $\A$ be a $C^{*} -$ algebra with unit element $1$ and unitary group $U .$ Let $a = (a_{1}, ..., a_{k})$ and $b = (b_{1}, ..., b_{k})$ two $k -$ tuples of elements in $\A.$ The elementary operator…