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180604 ||| eng |
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|a 9783319740393
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| 100 |
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|a Budzyński, Piotr
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| 245 |
0 |
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|a Unbounded Weighted Composition Operators in L²-Spaces
|h Elektronische Ressource
|c by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel
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| 250 |
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|a 1st ed. 2018
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2018, 2018
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| 300 |
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|a XII, 182 p. 7 illus., 1 illus. in color
|b online resource
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| 505 |
0 |
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|a 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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| 653 |
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|a Functional analysis
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| 653 |
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|a Measure theory
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Operator theory
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| 653 |
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|a Operator Theory
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| 653 |
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|a Measure and Integration
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| 700 |
1 |
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|a Jabłoński, Zenon
|e [author]
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| 700 |
1 |
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|a Jung, Il Bong
|e [author]
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| 700 |
1 |
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|a Stochel, Jan
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Lecture Notes in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/978-3-319-74039-3
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-74039-3?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515,724
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| 520 |
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|a 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
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