Titlebook: Linear Operators and Approximation / Lineare Operatoren und Approximation; Proceedings of the C P. L. Butzer,J.-P. Kahane,B. Sz?kefalvi-Nag

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meretricious

Linear Operators and Approximation / Lineare Operatoren und ApproximationProceedings of the C

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Semi-Groups of Nonlinear TransformationsThroughout this paper, . denotes a real Banach space, X. denotes the dual of ., and . denotes a subset of .. By an ., we will mean a transformation . with domain . and range . contained in .. By ?(.), we mean the collection of all transformations from . into ..

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Cyclic Vectors and CommutantsFor a (linear, bounded) operator . on a Banach space . denote by (.)′ the commutant of .,i.e. the set of operators on . which commute with ..

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Weyl’s TheoremsThe purpose of this paper is to briefly describe some recent results and to give some examples that illustrate and make rather sharp the following three theorems concerning perturbation of spectra of linear operators, each often called Weyl’s Theorem in the literature.