Communications in Mathematical Physics

, Volume 48, Issue 1, pp 15–22 | Cite as

Positive linear maps on operator algebras

  • David E. Evans


Given a family of completely positive maps, indexed by a group, from aC*-algebra into itself, we are concerned with its dilation to a group of *-automorphisms on a larger algebra. A Schwarz-type inequality forn-positive *-linear mappings from an involutive algebra into the bounded linear operators on a hilbert space is obtained. Strongly continuous one-parameter semigroups and groups onC*-algebras, which have certain positivity properties, are studied.


Neural Network Statistical Physic Hilbert Space Complex System Linear Operator 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • David E. Evans
    • 1
  1. 1.School of Theoretical PhysicsDublin Institute for Advanced StudiesDublin 4Ireland

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