Overview
- Provides a systematic and accessible treatment of results on measurable partitions
- Presents a new point of view: From the spectral theory of transfer operators and universal Hilbert space, to new interconnections between dynamical systems, and their use in multiresolution analysis
- Numerous explicit examples make direct links between the theory and a multitude of diverse applications
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2217)
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Table of contents (13 chapters)
Keywords
About this book
The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classesof operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.
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Authors and Affiliations
About the authors
Sergey Bezuglyi works at the University of Iowa since2016.He taught also in the Washington University, Ohio State University, and University of Oregon. Most of his research was conducted at the National Academy of Sciences of Ukraine when he was a Leading Researcher at the Institute for Low Temperature Physics in Kharkiv. His areas of interest in pure mathematics are ergodic theory, topological dynamics, operator algebras, functional analysis, and theory of operators.
His research was funded by national and international grants. Sergey Bezuglyi was awarded by the State Prize of Ukrainein 2010 for achievements in the theory of dynamical system.
Bibliographic Information
Book Title: Transfer Operators, Endomorphisms, and Measurable Partitions
Authors: Sergey Bezuglyi, Palle E. T. Jorgensen
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-92417-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-92416-8Published: 22 June 2018
eBook ISBN: 978-3-319-92417-5Published: 21 June 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 162
Number of Illustrations: 7 b/w illustrations
Topics: Measure and Integration, Functional Analysis, Probability and Statistics in Computer Science, Probability Theory and Stochastic Processes, Thermodynamics, Operator Theory