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/10.1007/978-1-4471-1353-9tor Δ. is the orthogonal projection onto the eigenspace Ker(λ. and the series converges in the operator norm. The aim of this chapter is to obtain an analogous representation for an arbitrary bounded selfadjoint operator.

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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, which are presented in the last two sections.

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https://doi.org/10.1007/978-1-4471-1353-9ind their similarities. Local and global aspects of the equivalence concept are studied separately. Equivalence is also used for the analysis of operators which depend analytically (and not necessarily linearly) on the spectral parameter.