Unbounded weighted composition operators in L²-Spaces [e-book] / by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel
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| Autore: |
Budzyński, Piotr
|
| Titolo: |
Unbounded weighted composition operators in L²-Spaces [e-book] / by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel
|
| Descrizione fisica: | 1 online resource (xii, 180 pages) : illustrations |
| Disciplina: | 515.724 |
| Soggetto topico: | Banach spaces |
| Composition operators | |
| Functional analysis | |
| Measure theory | |
| Operator theory | |
| Classificazione: | AMS 47-02 |
| LC QA329.2.B83 | |
| Altri autori: |
Jablónski, Zenon Jan author
Jung, Il Bong
Stochel, Jan
|
| Nota di bibliografia: | Includes bibliographical references and indexes |
| Nota di contenuto: | 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 |
| Sommario/riassunto: | 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: | 3319740393 |
| 9783319740393 | |
| 3319740385 | |
| 9783319740386 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 991003635859707536 |
| Lo trovi qui: | Univ. del Salento |
| Localizzazioni e accesso elettronico | http://link.springer.com/10.1007/978-3-319-74039-3 |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, 0075-8434 ; 2209
Altra ed. diverso supporto:
Printed edition: 9783319740386