About tensor products of Hilbert quasi *-algebras and their representability properties
Functional Analysis
2020-02-20 v1 Operator Algebras
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.
Cite
@article{arxiv.2002.07926,
title = {About tensor products of Hilbert quasi *-algebras and their representability properties},
author = {Maria Stella Adamo},
journal= {arXiv preprint arXiv:2002.07926},
year = {2020}
}
Comments
Contribution Proceedings of the 27th International Conference in Operator Theory (OT27), Timi\c{s}oara - 2018