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Spectra of the difference, sum and product of idempotents

Mohamed Barraa; Mohamed Boumazgour — 2001

Studia Mathematica

We give a simple proof of the relation between the spectra of the difference and product of any two idempotents in a Banach algebra. We also give the relation between the spectra of their sum and product.

A lower bound of the norm of the operator X → AXB + BXA.

Mohamed Barraa; Mohamed Boumazgour — 2001

Extracta Mathematicae

Norm of a derivation and hyponormal operators.

Mohamed Barraa; Mohamed Boumazgour — 2001

Extracta Mathematicae

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