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math.FA2012★ 3 cited
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Marcel de Jeu, Jun Tomiyama
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one poi…
math.OA2012★ 4 cited
A characterisation of C*-algebras through positivity of functionals
Marcel de Jeu, Jun Tomiyama
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 linea…