Norm Estimations for Operator Valued Functions and Their Applications: 1st Edition (Hardback) book cover

Norm Estimations for Operator Valued Functions and Their Applications

1st Edition

Edited by Michael Gil

CRC Press

376 pages

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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.


". . .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

Table of Contents

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.

About the Editors

Michael I. Gil

About the Series

Chapman & Hall/CRC Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Functional Analysis