Norm estimations for operator-valued functions and applications

Bibliographic Information

Norm estimations for operator-valued functions and applications

Michael I. Gilʹ

(Monographs and textbooks in pure and applied mathematics, 192)

Marcel Dekker, c1995

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Note

Includes bibliographical references (p.339-350) and index

Description and Table of Contents

Description

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.

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.

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