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arXiv · 1205.6830

A characterisation of C*-algebras through positivity of functionals

Marcel de Jeu·Jun Tomiyama
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Abstract

We show that a unital involutive Banach algebra, with identity of norm one and continuous involution, is a C*-algebra, with the given involution and norm, if every continuous linear functional attaining its norm at the identity is positive.

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Marcel de Jeu, Jun Tomiyama. 2012-05-27. A characterisation of C*-algebras through positivity of functionals. https://doi.org/10.15352/afa/1399899837

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