03151nam a2200529 i 4500991003635859707536m o d cr nn||||mamaa190405s2018 sz a o 000 0 eng d331974039397833197403933319740385978331974038610.1007/978-3-319-74039-3doib14363835-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.72423AMS 47-02LC QA329.2.B83Budzyński, Piotr785947Unbounded weighted composition operators in L²-Spaces[e-book] /by Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan StochelCham, Switzerland :Springer,[2018?]©2018 1 online resource (xii, 180 pages) :illustrationstexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,0075-8434 ;2209Includes bibliographical references and indexesChapter 1. Preliminaries ; Chapter 2. Preparatory Concepts ; Chapter 3. Subnormality - General Criteria ; Chapter 4. C∞-vectors ; Chapter 5. Seminormality ; Chapter 6. Discrete Measure Spaces ; Chapter 7. Relationships Between Cϕ;w and Cϕ ; Chapter 8. MiscellaneaThis 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 theoryBanach spacesComposition operatorsFunctional analysisMeasure theoryOperator theoryJablónski, Zenon Janauthorhttp://id.loc.gov/vocabulary/relators/aut1358718Jung, Il BongStochel, JanPrinted edition:9783319740386An electronic book accessible through the World Wide Webhttp://link.springer.com/10.1007/978-3-319-74039-3.b1436383503-03-2205-04-19991003635859707536Unbounded weighted composition operators in L²-Spaces3370588UNISALENTOle01305-04-19m@ -engsz 00