Bounded elements and spectrum in Banach quasi *-algebras
Camillo Trapani
Studia Mathematica, Tome 173 (2006), p. 249-273 / Harvested from The Polish Digital Mathematics Library
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A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra b 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 ().

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284997 
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Camillo Trapani. Bounded elements and spectrum in Banach quasi *-algebras. Studia Mathematica, Tome 173 (2006) pp. 249-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm172-3-4/