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This book establishes the foundations of the theory of bounded and
unbounded weighted composition operators in L(2)-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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