Classical H~ interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Möbius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz. Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of co-isometries can be extended, by preserving their norm, to operators intertwining these co-isometries; starring with R. G. Douglas, P. S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L ~ interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L ~ to H~. At about the sametime as Sarason's work, V. M.
Produktkennzeichnungen
ISBN-10
3034877145
ISBN-13
9783034877145
eBay Product ID (ePID)
172906961
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
660 Seiten
Verlag
Birkhäuser Basel, Springer Basel
Publikationsname
The Commutant Lifting Approach to Interpolation Problems
Autor
Frazho
Format
Taschenbuch
Erscheinungsjahr
2013
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Paperback
Item Length
22cm
Item Height
3cm
Item Width
15cm
Nummer Innerhalb der Serie
44
Mitautor
Foias
Item Weight
940g
Buchreihe
Operator Theory: Advances And Applications
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