Norm Estimations for Operator Valued Functions and Their Applications

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 des matières

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.

A propos de l'auteur

Michael I. Gil

Détails du produit

• Auteurs: Michael Gil
• Collaboration: Michael Gil (Editeur), Gil Michael (Editeur)
• Edition: Taylor & Francis Ltd.
• Langues: Anglais
• Format d'édition: Livre de poche
• Sortie: 05.09.2019
• EAN: 9780367401627
• ISBN: 978-0-367-40162-7
• Pages: 376
• Thème: Chapman & Hall/CRC Pure and Applied Mathematics
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Général, dictionnaires; MATHEMATICS / General, MATHEMATICS / Functional Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis