Unbounded Weighted Composition Operators in L²-Spaces / Lecture Notes in Mathematics Bd.2209 (PDF)

Name: Unbounded Weighted Composition Operators in L²-Spaces / Lecture Notes in Mathematics Bd.2209
Brand: Springer-Verlag GmbH
SKU: 102541455
Price: 48.14 EUR
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(Sprache: Englisch)

Autoren: Piotr Budzynski , Zenon Jablonski , Il Bong Jung , mehr...

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Unbounded Weighted Composition Operators in L²-Spaces / Lecture Notes in Mathematics Bd.2209, Piotr Budzynski, Zenon Jablonski, Il Bong Jung, Jan Stochel

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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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Bibliographische Angaben

Autoren: Piotr Budzynski , Zenon Jablonski , Il Bong Jung , Jan Stochel
2018, 1st ed. 2018, 182 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3319740393
ISBN-13: 9783319740393
Erscheinungsdatum: 28.05.2018

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“All in all, the book under review presents a rigorous measure-theoretic development of the theory of bounded and unbounded WCOs in L2-measure spaces. … The book can serve as a comprehensive resource for researchers in operator theory, in particular WCO/CO researchers, and those interested in measure theory, dynamical systems, graph theory, as well as multidisciplinary researchers working in these areas and their applications.” (Abebaw Tadesse, Mathematical Reviews, March, 2019)

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