Banach Algebras with Involution.
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Vlastimil Pták (1972)
Manuscripta mathematica
Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
Lajos Molnár (1996)
Monatshefte für Mathematik
Antoine, Jean-Pierre, Trapani, Camillo, Tschinke, Francesco (2006)
International Journal of Mathematics and Mathematical Sciences
Camillo Trapani (2006)
Studia Mathematica
A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra consisting of bounded elements of . The latter *-algebra is shown to coincide with the set of elements of having finite spectral radius. If the family () of bounded invariant positive sesquilinear forms on contains sufficiently many elements then the Banach *-algebra of bounded elements can be characterized via a C*-seminorm defined by the elements of ().
Oudadess, Mohamed (2008)
Banach Journal of Mathematical Analysis [electronic only]
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