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arXiv · 2002.08775

On some applications of representable and continuous functionals of Banach quasi *-algebras

Maria Stella Adamo
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Abstract

This survey aims to highlight some of the consequences that representable (and continuous) functionals have in the framework of Banach quasi *-algebras. In particular, we look at the link between the notions of *-semisimplicity and full representability in which representable functionals are involved. Then, we emphasize their essential role in studying *-derivations and representability properties for the tensor product of Hilbert quasi *-algebras, a special class of Banach quasi *-algebras.

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Maria Stella Adamo. 2020-02-18. On some applications of representable and continuous functionals of Banach quasi *-algebras. https://arxiv.org/abs/2002.08775

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