Criteria of Le page Type in Involutive Banach Algebras

Authors: ABDELLAH EL KINANI, MOHAMED OUDADESS

Abstract: The Le Page inequality in Banach algebras is \parallel xy \parallel\leq\alpha\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself and commutativity results.^1

Keywords: Banach algebra, Commutativity, C^{\star}-algebra, antilinear map, Spectral radius, Numerical radius.

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