A1 Refereed original research article in a scientific journal
Modules, completely positive maps, and a generalized KSGNS construction
Authors: Pellonpaa JP, Ylinen K
Publisher: SPRINGER
Publication year: 2011
Journal: Positivity
Journal name in source: POSITIVITY
Journal acronym: POSITIVITY
Number in series: 3
Volume: 15
Issue: 3
First page : 509
Last page: 525
Number of pages: 17
ISSN: 1385-1292
DOI: https://doi.org/10.1007/s11117-010-0104-6
Abstract
A very general KSGNS type dilation theorem in the context of right (not necessarily Hilbert) modules over C*-algebras is presented. The proof uses Kolmogorov type decompositions for positive-definite kernels with values in spaces of sesquilinear maps. More specific functional analytic applications are obtained by adding assumptions.
A very general KSGNS type dilation theorem in the context of right (not necessarily Hilbert) modules over C*-algebras is presented. The proof uses Kolmogorov type decompositions for positive-definite kernels with values in spaces of sesquilinear maps. More specific functional analytic applications are obtained by adding assumptions.
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