Crynodeb
Based on a careful analysis of functional models for contractive multianalytic operators we establish a onetoone correspondence between unitary equivalence
classes of minimal contractive liftings of a row contraction and injective symbols of contractive multianalytic operators. This allows an effective construction and classification of all such liftings with given defects. Popescu's theory of characteristic functions of completely noncoisometric row contractions is obtained as a special case satisfying a Szego condition. In another special case of single contractions and defects equal to 1 all nonzero Schur functions on the unit disk appear in the classification. It is also shown that the process of constructing liftings iteratively reflects itself in a factorization of the corresponding symbols.
classes of minimal contractive liftings of a row contraction and injective symbols of contractive multianalytic operators. This allows an effective construction and classification of all such liftings with given defects. Popescu's theory of characteristic functions of completely noncoisometric row contractions is obtained as a special case satisfying a Szego condition. In another special case of single contractions and defects equal to 1 all nonzero Schur functions on the unit disk appear in the classification. It is also shown that the process of constructing liftings iteratively reflects itself in a factorization of the corresponding symbols.
Iaith wreiddiol  Saesneg 

Tudalennau (oi)  933955 
Nifer y tudalennau  23 
Cyfnodolyn  Complex Analysis and Operator Theory 
Cyfrol  9 
Rhif cyhoeddi  4 
Dyddiad arlein cynnar  20 Gorff 2014 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  20 Gorff 2014 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Functional Models and Minimal Contractive Liftings'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau

Rolf Gohm
 Cyfadran Busnes a’r Gwyddorau Ffisegol, Mathemateg  Senior Lecturer
Unigolyn: Dysgu ac Ymchwil