Open AccessCompletely Dissipative Maps and Stinespring's Dilation-Type Theorem onσ-C*-Algebras
Author(s) -
Tian Zhou Xu
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/702989
Subject(s) - dissipative system , algorithm , dilation (metric space) , mathematics , type (biology) , artificial intelligence , computer science , geometry , physics , thermodynamics , geology , paleontology
The notion of the completely dissipative maps on σ-C*-algebras is introduced. We show that a completely dissipative map induces a representation of a σ-C*-algebra. The classical Stinespring's dilation-type theorem is extended to a more general setting
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