| The Commutant Lifting Approach to Interpolation Problems Softcover Repri Edition Contributor(s): Foias (Author), Frazho (Author) |
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ISBN: 3034877145 ISBN-13: 9783034877145 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: October 2013 |
| Additional Information |
| BISAC Categories: - Science - Mathematics - Non-classifiable |
| Dewey: 511.42 |
| Series: Operator Theory: Advances and Applications |
| Physical Information: 1.33" H x 6" W x 9" (1.91 lbs) 632 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 M bius 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. |
