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Paper   IPM / M / 16433
School of Mathematics
  Title:   Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm
  Author(s):  Salman Beigi (Joint with Ch. King)
  Status:   Published
  Journal: J. Math. Phys.
  Vol.:  57
  Year:  2016
  Pages:   015206
  Supported by:  IPM
  Abstract:
We develop the notions of hypercontractivity (HC) and the log-Sobolev (LS) inequality for completely bounded norms of one-parameter semigroups of super-operators acting on matrix algebras.

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