The Commutant Lifting Approach to Interpolation Problems is popular PDF and ePub book, written by Foias in 2013-11-11, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, The Commutant Lifting Approach to Interpolation Problems can be Read Online from any device for your convenience.
The Commutant Lifting Approach to Interpolation Problems Book PDF Summary
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."
Detail Book of The Commutant Lifting Approach to Interpolation Problems PDF
- Author : Foias
- Release : 11 November 2013
- Publisher : Birkhäuser
- ISBN : 9783034877121
- Genre : Science
- Total Page : 647 pages
- Language : English
- PDF File Size : 21,9 Mb
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