Authors:
- Provides the first systematic study of unbounded weighted composition operators in L² spaces in full generality
- Contains the first ever criteria for subnormality of unbounded weighted composition operators in L² -spaces
- Includes a detailed discussion of some basic properties of conditional expectation in non-probabilistic setting
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2209)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L²-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized.
The first-ever criteria for subnormality of unbounded weighted composition operators are provided and the subtle interplay between the classical moment problem, graph theory and the injectivity problem for weighted composition operators is revealed. The relationships between weighted composition operators and the corresponding multiplication and composition operators are investigated. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types.
The book is primarily aimed at researchers in single or multivariable operator theory.Reviews
Authors and Affiliations
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Katedra Zastosowań Matematyki, Uniwersytet Rolniczy w Krakowie, Kraków, Poland
Piotr Budzyński
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Instytut Matematyki, Uniwersytet Jagielloński, Kraków, Poland
Zenon Jabłoński, Jan Stochel
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Department of Mathematics, Kyungpook National University, Daegu, Korea (Republic of)
Il Bong Jung
Bibliographic Information
Book Title: Unbounded Weighted Composition Operators in L²-Spaces
Authors: Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-74039-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-74038-6Published: 29 May 2018
eBook ISBN: 978-3-319-74039-3Published: 28 May 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 182
Number of Illustrations: 6 b/w illustrations, 1 illustrations in colour
Topics: Operator Theory, Functional Analysis, Measure and Integration