Unbounded Weighted Composition Operators in L²-Spaces

Häftad, Engelska, 2018

Del 2209 i serien Lecture Notes in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2018-05-29
Mått:155 x 235 x 14 mm
Vikt:318 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:182
Förlag:Springer International Publishing AG
ISBN:9783319740386

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

“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)

Innehållsförteckning

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.