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Paper   IPM / M / 16539
School of Mathematics
  Title:   Unbounded operator algebras
  Author(s):  Mohammad Bagher Asadi (Joint with Z. Hassanpour and S. Shamloo)
  Status:   To Appear
  Journal: Ann. Funct. Anal.
  Supported by:  IPM
  Abstract:
In this paper, we introduce the notion of abstract local operator algebras, 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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