The Commutant Lifting Approach to Interpolation Problems: v. 44 (Operator Theory: Advances and Applications) Foias, Ciprian and Frazho, A. E.

Ciprian Foias; Arthur E. Frazho

ISBN 10: 3764324619 / ISBN 13: 9783764324612

Edité par Birkhauser, 1990

A propos de cet article

Light fading and marks to the book cover. Inscriptions at the front,otherwise is clean, an excellent reference copy.

N° de réf. du vendeur 123241-4

Détails bibliographiques

• Titre: The Commutant Lifting Approach to Interpolation Problems: v. 44 (Operator Theory: Advances and Applications) Foias, Ciprian and Frazho, A. E.
• Éditeur: Birkhauser
• Date de parution: 1990
• Langue: anglais
• ISBN à 10 chiffres: 3764324619
• ISBN à 13 chiffres: 9783764324612
• Reliure: Couverture rigide
• État de l'article: Very Good

A propos de ce titre

Synopsis

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 Mobius 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.