Classical and Quantum Semigroups

• Fagnola, Franco ^[1]
  1. [1] University of Genoa

     University of Genoa

     Genoa, Italia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 3, 1999, págs. 75-93
• Idioma: inglés
• DOI: 10.22199/S07160917.1999.0003.00005
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• Resumen

  • Several quantum Markov semigroups admit an invariant abelian subalgebra which can be looked at as an algebra of bounded functions on some measurable space. The restriction to this subalgebra is a semigroup of positive and identity preserving operators i.e. a classical Markov semigroup (see Examples 3.3, 3.4).