Titlebook: Classes of Linear Operators Vol. I; Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe Book 1990 Springer Basel AG 1990 Area.Eigenvalue.Fu

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https://doi.org/10.5822/978-1-61091-791-9ors. In this chapter the main properties of the singular values are studied. In the last sectionthe trace class operators are introduced. For the latter operators the trace and determinant will be defined in the next chapter.

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https://doi.org/10.1007/978-3-031-02477-1atural Hilbert space structure and it contains the trace class operators. In the first section some additional properties of .-numbers are derived. In the second section the Hilbert-Schmidt operators are introduced and their main properties are established. The last section contains a completeness t

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https://doi.org/10.1007/978-3-319-65027-2 basic theorem in which a sharp evaluation is given of the norm of an inverse operator in terms of the determinant and the singular values. The theorem is used in the second section to evaluate the growth of the resolvent of a Volterra operator. The applications concern two completeness theorems, wh

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https://doi.org/10.1007/978-3-319-65027-2ns will concern Wiener-Hopf integral operators and Toeplitz operators which we shall deal with in the next chapters and in Volume II. The first section contains the definition of a Fredholm operator and the first examples. In Section 2 we pay special attention to operators with closed range. The bas

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Palgrave Macmillan Memory Studiestroduced. The fact that the symbols are rational allows us to represent them in a special way. We use this representation to construct explicitly the factors in a canonical Wiener-Hopf factorization. In this way explicit formulas for the inverse and the Fredholm characteristics are obtained. Also co

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