Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

• Verfasst von: Zolotarev, Vladimir A. [VerfasserIn]
• Titel: Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators
• Verf.angabe: by Vladimir A. Zolotarev
• Ausgabe: 2nd ed. 2025.
• Verlagsort: Cham
• Verlag: Springer Nature Switzerland
• Jahr: 2025
• Umfang: 1 Online-Ressource(XIV, 540 p. 6 illus.)
• Gesamttitel/Reihe: Lecture Notes in Mathematics ; 2355
• ISBN: 978-3-031-71657-7
• DOI: doi:10.1007/978-3-031-71657-7
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Zolotarev, Vladimir A., 1951 - : Analytic methods of spectral representations of non-selfadjoint (non-unitary) operators. - Second edition. - Cham : Springer Nature, 2025. - XIV, 537 Seiten
• K10plus-PPN: 1922929255
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

- 1. Local Colligations and Model Representations of Linear Non-Self-Adjoint Bounded Operators -- 2. Unitary Metric Colligations and Their Model Representations -- 3. Colligations Corresponding to Unbounded Operators and Their Model Representations -- 4. Elements of V.P. Potapov's J -Theory and the Factorization Problem of J -Contractive Matrix Functions.

Abstract

Klappentext: This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.