LEADER 03150nam a2200529 i 4500 001 991003635859707536 006 m o d 007 cr nn||||mamaa 008 190405s2018 sz a o 000 0 eng d 020 $a3319740393 020 $a9783319740393 020 $z3319740385 020 $z9783319740386 024 7 $a10.1007/978-3-319-74039-3$2doi 035 $ab14363835-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.724$223 084 $aAMS 47-02 084 $aLC QA329.2.B83 100 1 $aBudzy?ski, Piotr$0748435 245 10$aUnbounded weighted composition operators in L˛-Spaces$h[e-book] /$cby Piotr Budzy?ski, Zenon Jab?o?ski, Il Bong Jung, Jan Stochel 264 1$aCham, Switzerland :$bSpringer,$c[2018?] 264 4$c©2018 300 $a1 online resource (xii, 180 pages) :$billustrations 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2209 504 $aIncludes bibliographical references and indexes 505 0 $aChapter 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 C?;w and C? ; Chapter 8. Miscellanea 520 $aThis book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L˛-spaces. It develops the theory in full generality, meaning that the weighted composition operators under consideration are not regarded as products of multiplication and composition operators. A variety of seminormality properties are characterized and the first-ever criteria for subnormality of unbounded weighted composition operators is provided. The subtle interplay between the classical moment problem, graph theory and the injectivity problem is revealed and there is an investigation of the relationships between weighted composition operators and the corresponding multiplication and composition operators. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types. The book is primarily aimed at researchers in single or multivariable operator theory 650 0$aBanach spaces 650 0$aComposition operators 650 0$aFunctional analysis 650 0$aMeasure theory 650 0$aOperator theory 700 1 $aJablónski, Zenon Jan$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0758216 700 1 $aJung, Il Bong 700 1 $aStochel, Jan 776 08$iPrinted edition:$z9783319740386 856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-74039-3 907 $a.b14363835$b03-03-22$c05-04-19 912 $a991003635859707536 996 $aUnbounded weighted composition operators in L˛-Spaces$91597818 997 $aUNISALENTO 998 $ale013$b05-04-19$cm$d@ $e-$feng$gsz $h0$i0