TY  - BOOK
AU  - Foias, Ciprian
AU  - Frazho, Arthur E.
TI  - Commutant lifting approach to interpolation problems 
T2  - Operator theory, advances and applications
SN  - 9783034877145
U1  - 517.518.85 
PY  - 1990///
CY  - Switzerland
PB  - Springer Basel AG
KW  - Interpolation.
KW  - Lifting theory
KW  - Boundary element method
KW  - Control theory
KW  - Hilbert space
KW  - Mathematical programming
KW  - Matrices
N1  - Includes bibliographical references and index
N2  - 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
UR  - https://link.springer.com/book/10.1007/978-3-0348-7712-1#toc
UR  - https://www.goodreads.com/book/show/3540544-the-commutant-lifting-approach-to-interpolation-problems?from_search=true&from_srp=true&qid=7PJpkQC0Gv&rank=2#CommunityReviews
ER  -