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" Unbounded weighted composition operators in L²-Spaces / "
by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel.
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BL
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| Record Number
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864582
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| Main Entry
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Budzyński, Piotr
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| Title & Author
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Unbounded weighted composition operators in L²-Spaces /\ by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2018]
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| Series Statement
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Lecture Notes in Mathematics,; 2209
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| Page. NO
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1 online resource (xii, 180 pages) :: illustrations
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| ISBN
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3319740393
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: 9783319740393
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3319740385
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9783319740386
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| Bibliographies/Indexes
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Includes bibliographical references and indexes.
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| Contents
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Chapter 1. Preliminaries -- Chapter 2. Preparatory Concepts -- Chapter 3. Subnormality -- General Criteria -- Chapter 4. C{u221E}-vectors -- Chapter 5. Seminormality -- Chapter 6. Discrete Measure Spaces -- Chapter 7. Relationships Between C{u03D5};w and C{u03D5} -- Chapter 8. Miscellanea.
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| Abstract
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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 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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Banach spaces.
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Composition operators.
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Functional analysis.
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Measure theory.
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Operator theory.
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Banach spaces.
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Composition operators.
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Functional analysis transforms.
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Functional analysis.
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Integral calculus equations.
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Mathematics-- Functional Analysis.
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Mathematics-- Mathematical Analysis.
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Mathematics.
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Measure theory.
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Operator theory.
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Mathematics.
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Functional Analysis.
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Measure and Integration.
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Operator Theory.
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| Dewey Classification
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515/.7246
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| LC Classification
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QA329.2.B83 2018
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| Added Entry
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Jablónski, Zenon Jan,1973-
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Jung, Il Bong,1954-
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Stochel, Jan,1951-
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