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Zusatztext ". . .provides valuable new working tools and is well worth reading for anyone seriously interested in the area of the theory of matrices or operator theory. "---Applications of Mathematics ". . .well written and useful. . .presents a systematic exposition of. . .a subject to which the author has made substantial contributions. "---Mathematical Reviews Informationen zum Autor Michael I. Gil Klappentext Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations. Zusammenfassung Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations. Inhaltsverzeichnis Matrix-valued functions; functions of compact operators; functions of nonself-adjoint operators; perterbations of finite dimensional and compact operators; perterbations of noncompact operators; perterbations of operators on a tensor product of Hilbert spaces; stability and boundedness of ordinary differential systems; stability of retarded systems; absolute stability of solutions of Voletta integral equations; stability of semilinear parabolic systems; stability of Volterra integrodifferential systems and applications to viscoelasticity; semilinear boundary value problems; list of main symbols.
