Unbounded Weighted Composition Operators in L²-Spaces
Author:   Piotr Budzyński ,  Zenon Jabłoński ,  Il Bong Jung ,  Jan Stochel
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2018
Volume:   2209
ISBN:  

9783319740386


Pages:   182
Publication Date:   29 May 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Unbounded Weighted Composition Operators in L²-Spaces


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Overview

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.

Full Product Details

Author:   Piotr Budzyński ,  Zenon Jabłoński ,  Il Bong Jung ,  Jan Stochel
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Volume:   2209
Weight:   0.454kg
ISBN:  

9783319740386


ISBN 10:   3319740385
Pages:   182
Publication Date:   29 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter 1. Preliminaries.- Chapter 2. Preparatory Concepts.- Chapter 3. Subnormality - General Criteria.- Chapter 4. C∞-vectors.- Chapter 5. Seminormality.- Chapter 6. Discrete Measure Spaces.- Chapter 7. Relationships Between Cϕ;w and Cϕ.- Chapter 8. Miscellanea.

Reviews

All in all, the book under review presents a rigorous measure-theoretic development of the theory of bounded and unbounded WCOs in L2-measure spaces. ... The book can serve as a comprehensive resource for researchers in operator theory, in particular WCO/CO researchers, and those interested in measure theory, dynamical systems, graph theory, as well as multidisciplinary researchers working in these areas and their applications. (Abebaw Tadesse, Mathematical Reviews, March, 2019)


“All in all, the book under review presents a rigorous measure-theoretic development of the theory of bounded and unbounded WCOs in L2-measure spaces. … The book can serve as a comprehensive resource for researchers in operator theory, in particular WCO/CO researchers, and those interested in measure theory, dynamical systems, graph theory, as well as multidisciplinary researchers working in these areas and their applications.” (Abebaw Tadesse, Mathematical Reviews, March, 2019)​


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