p -Banach algebras with generalized involution and C^*-algebra structure

Authors: ABDELLAH EL KINANI, AZIZ IFZARNE, MOHAMED OUDADESS

Abstract: In this paper, we consider p-Banach algebras endowed with a generalized involution. We show that various C^*-like conditions force the algebra to be C^*-algebra under an equivalent norm.

Keywords: p-Banach algebras, generalized involution, involutive anti-morphism, C^*-algebra.

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