Budzyński P., Jabłoski Z., Jung II.B., Stochel J. Unbounded Weighted Composition Operators in L2-Spaces

Springer, 2018. — 189 p. — (Lecture Notes in Mathematics 2209). — ISBN: 3319740385.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.Preliminaries
Preparatory Concepts
Subnormality: General Criteria
C1oo-Vectors
Seminormality
Discrete Measure Spaces
Relationships Between Cф;w and Cф
Miscellanea
Non-probabilistic Expectation
Powers of Operators