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Unbounded Weighted Composition Operators in L²-Spaces

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Unbounded Weighted Composition Operators in L²-Spaces/ by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel.
Author:	Budzyński, Piotr.
other author:	Jabłoński, Zenon.
Description:	XII, 182 p. 7 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Operator theory. -
Online resource:	https://doi.org/10.1007/978-3-319-74039-3
ISBN:	9783319740393

Unbounded Weighted Composition Operators in L²-Spaces
Budzyński, Piotr.

Unbounded Weighted Composition Operators in L²-Spaces[electronic resource] /by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel. - 1st ed. 2018. - XII, 182 p. 7 illus., 1 illus. in color.online resource. - Lecture Notes in Mathematics,22090075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

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 weighted composition operators under consideration are not regarded as products of multiplication and composition operators. A variety of seminormality properties are characterized and the first-ever criteria for subnormality of unbounded weighted composition operators is provided. The subtle interplay between the classical moment problem, graph theory and the injectivity problem is revealed and there is an investigation of the relationships between weighted composition operators and the corresponding multiplication and composition operators. 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.

ISBN: 9783319740393

Standard No.: 10.1007/978-3-319-74039-3doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Unbounded Weighted Composition Operators in L²-Spaces
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