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arXiv · 2002.07926

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

Maria Stella Adamo
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Abstract

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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Maria Stella Adamo. 2020-02-18. About tensor products of Hilbert quasi *-algebras and their representability properties. https://arxiv.org/abs/2002.07926

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