Show simple item record Dey, Santanu Gohm, Rolf 2011-10-31T10:15:46Z 2011-10-31T10:15:46Z 2011-10-31
dc.identifier.citation Dey , S & Gohm , R 2011 , ' Characteristic Functions of Liftings ' Journal of Operator Theory , vol 65 , no. 1 , pp. 17-45 . en
dc.identifier.issn 1841-7744
dc.identifier.other PURE: 171714
dc.identifier.other PURE UUID: ca5917a7-0efb-42b8-abe4-ba84098d9a4a
dc.identifier.other dspace: 2160/7640
dc.description.abstract We introduce characteristic functions for certain contractive liftings of row contractions. These are multi-analytic operators which classify the liftings up to unitary equivalence and provide a kind of functional model. The most important cases are subisometric and coisometric liftings. We also identify the most general setting which we call reduced liftings. We derive properties of these new characteristic functions and discuss the relation to Popescu's definition for completely non-coisometric row contractions. Finally we apply our theory to completely positive maps and prove a one-to-one correspondence between the fixed point sets of completely positive maps related to each other by a subisometric lifting. en
dc.format.extent 29 en
dc.language.iso eng
dc.relation.ispartof Journal of Operator Theory en
dc.rights en
dc.title Characteristic Functions of Liftings en
dc.type /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article en
dc.contributor.institution Mathematics and Physics en
dc.contributor.institution Department of Physics en
dc.description.status Peer reviewed en

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