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About tensor products of Hilbert quasi *-algebras and their representability properties

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arxiv 2002.07926 v1 pith:ZD33I6GD submitted 2020-02-18 math.FA math.OA

classification math.FAmath.OA
keywords hilbertquasialgebraspropertiestensornoteproductrepresentability
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This note aims to investigate the tensor product of two given Hilbert quasi *-algebras and its properties. The construction proposed in this note turns out to be again a Hilbert quasi *-algebra, thus interesting representability properties studed in \cite{AT} are maintained. Furthermore, if two functionals are representable and continuous respectively on the two Hilbert quasi *-algebras, then so is their tensor product.

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