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Unbounded Weighted Composition Operators in L²-Spaces
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Unbounded Weighted Composition Operators in L²-Spaces

2018 ed.

Book Details

Format Paperback / Softback
ISBN-10 3319740385
ISBN-13 9783319740386
Edition 2018 ed.
Publisher Springer International Publishing AG
Imprint Springer International Publishing AG
Country of Manufacture CH
Country of Publication GB
Publication Date May 29th, 2018
Print length 182 Pages
Weight 318 grams
Dimensions 17.20 x 23.60 x 1.40 cms
Ksh 7,200.00
Werezi Extended Catalogue 0 in stock

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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 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.


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