Norm estimations for operator-valued functions and applications
著者
書誌事項
Norm estimations for operator-valued functions and applications
（Monographs and textbooks in pure and applied mathematics, 192）
Marcel Dekker, c1995
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注記
Includes bibliographical references (p.339-350) and index
内容説明・目次
内容説明
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.
目次
- 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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