Unbounded Weighted Composition Operators in L²-Spaces (eBook, PDF)

Unbounded Weighted Composition Operators in L²-Spaces (eBook, PDF)

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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 invest...

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