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Record Nr. |
UNISALENTO991003635859707536 |
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Autore |
Budzyński, Piotr |
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Titolo |
Unbounded weighted composition operators in L²-Spaces [e-book] / by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel |
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ISBN |
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3319740393 |
9783319740393 |
3319740385 |
9783319740386 |
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Descrizione fisica |
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1 online resource (xii, 180 pages) : illustrations |
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Collana |
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Lecture Notes in Mathematics, 0075-8434 ; 2209 |
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Classificazione |
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Altri autori (Persone) |
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Jablónski, Zenon Jan author |
Jung, Il Bong |
Stochel, Jan |
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Disciplina |
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Soggetti |
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Banach spaces |
Composition operators |
Functional analysis |
Measure theory |
Operator theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and indexes |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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