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The interplay between representable functionals and derivations on Banach quasi *-algebras

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arxiv 1809.00470 v1 pith:B5CGOZMC submitted 2018-09-03 math.FA math.OA

classification math.FAmath.OA
keywords algebrabanachderivationsfunctionalsquasirepresentablestructureaims
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This note aims to highlight the link between representable functionals and derivations on a Banach quasi *-algebra, i.e. a mathematical structure that can be seen as the completion of a normed *-algebra in the case the multiplication is only separately continuous. Representable functionals and derivations have been investigated in previous papers for their importance concerning the study of the structure properties of a Banach quasi *-algebra and applications to quantum models.

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