Overview
- Provides a unified conceptual approach to the study of non-selfadjoint (non-unitary) operators
- Unifies the theories of M. S. Livšic , P. Lax – R. Phillips and B. Sz.-Nagy – C. Foias
- Describes an approach that has amazing flexibility and efficiency
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2355)
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About this book
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.
Keywords
Table of contents (6 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Vladimir A. Zolotarev graduated in 1973 from the School of Mathematics & Mechanics of V. N. Karazin Kharkiv National University, where he is now a professor. He obtained his PhD in 1978 with a thesis on multidimensional triangular models of operator systems. His doctoral thesis of 1994 was on model representations of Lie algebras of linear operators. Continuing to work at V. N. Karazin Kharkiv National University, he also joined the B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine in 2010. His main research interests are in spectral operator theory, scattering problems and inverse problems.
Bibliographic Information
Book Title: Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators
Authors: Vladimir A. Zolotarev
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-031-71657-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2025
Softcover ISBN: 978-3-031-71656-0Published: 03 April 2025
eBook ISBN: 978-3-031-71657-7Published: 01 April 2025
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 2
Number of Pages: XIV, 540
Number of Illustrations: 6 b/w illustrations
Topics: Functional Analysis