02972nam 22005775 450 99665526360331620251204153118.09783031716577(eBook)3031716574(eBook)10.1007/978-3-031-71657-7(CKB)38184909100041(DE-He213)978-3-031-71657-7(MiAaPQ)EBC32006597(Au-PeEL)EBL32006597(PPN)284780804(EXLCZ)993818490910004120250407h20252025 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierAnalytic methods of spectral representations of non-selfadjoint (non-unitary) operators /Vladimir A. ZolotarevSecond revised and enlarged edition.Cham :Springer,[2025]©20251 online resource (xiv, 540 pages) illustrationsLecture notes in mathematics,1617-9692 ;volume 23559783031716560 3031716566 Includes bibliographical references and index.- 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.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.Lecture notes in mathematics (Springer-Verlag) ;2355.1617-9692Selfadjoint operatorsOperator theoryFunctional analysisFunctional AnalysisSelfadjoint operators.Operator theory.Functional analysis.Functional Analysis.515.7Zolotarev Vladimir Aauthttp://id.loc.gov/vocabulary/relators/aut1816818MiAaPQMiAaPQMiAaPQBOOK996655263603316Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators4373636UNISA