Unbounded Weighted Composition Operators in L²-Spaces: 2209 (Lecture Notes in Mathematics) - Softcover

Budzyński, Piotr; Jabłoński, Zenon; Jung, Il Bong; Stochel, Jan

 
9783319740386: Unbounded Weighted Composition Operators in L²-Spaces: 2209 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3319740385 ISBN 13: 9783319740386
Verlag: Springer, 2018

Inhaltsangabe

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 corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized.

The first-ever criteria for subnormality of unbounded weighted composition operators are provided and the subtle interplay between the classical moment problem, graph theory and the injectivity problem for weighted composition operators is revealed. The relationships between weighted composition operators and the corresponding multiplication and composition operators are investigated. 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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
3319740385
ISBN 13 
9783319740386
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
196
Kontakt zum Hersteller
Nicht verfügbar
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