The Commutant Lifting Approach to Interpolation Problems: v. 44 (Operator Theory: Advances and Applications) - Hardcover
Inhaltsangabe
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.
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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.
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The commutant lifting approach to interpolation problems. Operator theory; Bd. 44.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02002 3764324619 Sprache: Englisch Gewicht in Gramm: 1150. Bestandsnummer des Verkäufers 2487839
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The Commutant Lifting Approach to Interpolation Problems: v. 44 (Operator Theory: Advances and Applications) Foias, Ciprian and Frazho, A. E.
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Zustand: Very Good. Light fading and marks to the book cover. Inscriptions at the front,otherwise is clean, an excellent reference copy. Bestandsnummer des Verkäufers 123241-4
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