Titlebook: Classes of Linear Operators; Israel Gohberg,Marinus A. Kaashoek,Seymour Goldber Book 1993 Birkh?user Verlag 1993 Mathematik.complex analys

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Toeplitz Operators Defined by Piecewise Continuous Matrix Functionss with a finite number of discontinuities. Sums and products of such operators are also considered. The chapter provides the necessary tools to develop the theory of Banach algebras generated by Toeplitz operators defined by piecewise continuous functions, which will be treated in Chapter XXXII.

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Dilation Theoryrs. The minimal isometric and minimal unitary dilations of a given contraction are to a large extent unique, which implies that those operators are useful instruments for the analysis of contractions. In this chapter we also prove the commutant lifting theorem and present some of its applications to interpolation problems.

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Michael G. Merideth,Michael K. Reiters with a finite number of discontinuities. Sums and products of such operators are also considered. The chapter provides the necessary tools to develop the theory of Banach algebras generated by Toeplitz operators defined by piecewise continuous functions, which will be treated in Chapter XXXII.

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