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math.FA2021
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…
math.FA2020
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…
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…