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Communications in Mathematical Physics

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

Positive linear maps on operator algebras

  • David E. Evans
Article

Abstract

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.

Keywords

Neural Network Statistical Physic Hilbert Space Complex System Linear Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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