TY  - BOOK
AU  - Budzyński,Piotr
AU  - Jablónski,Zenon Jan
AU  - Jung,Il Bong
AU  - Stochel,Jan
TI  - Unbounded weighted composition operators in L²-Spaces
T2  - Lecture Notes in Mathematics,
SN  - 9783319740393
AV  - QA329.2 .B83 2018
U1  - 515/.7246 23
PY  - 2018///]
CY  - Cham, Switzerland
PB  - Springer
KW  - Composition operators
KW  - Banach spaces
KW  - Functional analysis
KW  - Measure theory
KW  - Operator theory
KW  - Mathematics
KW  - Operator Theory
KW  - Functional Analysis
KW  - Measure and Integration
KW  - Opérateurs de composition
KW  - Espaces de Banach
KW  - Analyse fonctionnelle
KW  - Théorie de la mesure
KW  - Théorie des opérateurs
KW  - Mathématiques
KW  - applied mathematics
KW  - aat
KW  - mathematics
KW  - Functional analysis & transforms
KW  - bicssc
KW  - Integral calculus & equations
KW  - bisacsh
KW  - Mathematical Analysis
KW  - Espacios de Banach
KW  - embne
KW  - Análisis funcional
KW  - fast
N1  - Includes bibliographical references and indexes; Chapter 1. Preliminaries -- Chapter 2. Preparatory Concepts -- Chapter 3. Subnormality -- General Criteria -- Chapter 4. C{u221E}-vectors -- Chapter 5. Seminormality -- Chapter 6. Discrete Measure Spaces -- Chapter 7. Relationships Between C{u03D5};w and C{u03D5} -- Chapter 8. Miscellanea
N2  - 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
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-74039-3
ER  -