Tensor products of normed and Banach quasi *-algebras

Maria Fragoulopoulou; Maria Stella Adamo

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Tensor products of normed and Banach quasi *-algebras

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arxiv 2002.07930 v1 pith:JSU6U744 submitted 2020-02-18 math.FA math.OA

Maria Stella Adamo , Maria Fragoulopoulou This is my paper · ORCID

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keywords algebrasquasitensorbanachnormedproductscapacityclass

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Quasi *-algebras form an essential class of partial *-algebras, which are algebras of unbounded operators. In this work, we aim to construct tensor products of normed, respectively Banach quasi *-algebras, and study their capacity to preserve some important properties of their tensor factors, like for instance, *-semisimplicity and full representability.

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