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Beschreibung
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 [...] book is primarily aimed at researchers in single or multivariable operator theory.
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 [...] book is primarily aimed at researchers in single or multivariable operator theory.
Zusammenfassung

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

Inhaltsverzeichnis
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 C;w and C.- Chapter 8. Miscellanea.
Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xii
182 S.
6 s/w Illustr.
1 farbige Illustr.
182 p. 7 illus.
1 illus. in color.
ISBN-13: 9783319740386
ISBN-10: 3319740385
Sprache: Englisch
Herstellernummer: 978-3-319-74038-6
Einband: Kartoniert / Broschiert
Autor: Budzy¿ski, Piotr
Jab¿o¿ski, Zenon
Jung, Il Bong
Stochel, Jan
Hersteller: Springer
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Piotr Budzy¿ski (u. a.)
Erscheinungsdatum: 29.05.2018
Gewicht: 0,306 kg
Artikel-ID: 111019925

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