Abstract
In this paper, we introduce the notion of abstract local operator algebras and operator modules, and provide a representation theorem for them which extends the BRS theorem for operator algebras. Furthermore, we give a new proof for the representation theorem of local operator systems. Also, we investigate the Haagerup tensor product of local operator spaces and Morita equivalence of local operator algebras.
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The research of the first author was in part supported by a Grant from IPM (no. 99460119).
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Communicated by Tatiana Shulman.
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Asadi, M.B., Hassanpour-Yakhdani, Z. & Shamloo, S. Unbounded operator algebras. Ann. Funct. Anal. 12, 30 (2021). https://doi.org/10.1007/s43034-021-00118-9
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DOI: https://doi.org/10.1007/s43034-021-00118-9