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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.
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.
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 |