LEADER 02928nam 22006135 450 001 9910131385503321 005 20200702053044.0 010 $a3-662-46845-X 024 7 $a10.1007/978-3-662-46845-6 035 $a(CKB)3710000000436991 035 $a(SSID)ssj0001558598 035 $a(PQKBManifestationID)16184025 035 $a(PQKBTitleCode)TC0001558598 035 $a(PQKBWorkID)14819066 035 $a(PQKB)11086024 035 $a(DE-He213)978-3-662-46845-6 035 $a(MiAaPQ)EBC5596435 035 $a(PPN)186399189 035 $a(EXLCZ)993710000000436991 100 $a20150623d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMultiplication Operators on the Bergman Space /$fby Kunyu Guo, Hansong Huang 205 $a1st ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (VIII, 322 p. 11 illus., 1 illus. in color.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2145 300 $aIncludes Index. 311 $a3-662-46844-1 320 $aIncludes bibliographical references. 327 $aIntroduction -- Some preliminaries -- Cowen-Thomson's theorem -- Reducing subspaces associated eith finite Blaschke products -- Reducing subspaces associated with thin Blaschke products -- Covering maps and von Neumann algebras -- Operator-theoretic aspect on von Neumann algebras -- Similarity and unitary equivalence. 330 $aThis book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. The book reviews past developments and offers insights into cutting-edge developments in the study of multiplication operators. It also provides commentary and comparisons to stimulate research in this area. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2145 606 $aOperator theory 606 $aFunctional analysis 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aOperator theory. 615 0$aFunctional analysis. 615 14$aOperator Theory. 615 24$aFunctional Analysis. 676 $a515.724 700 $aGuo$b Kunyu$4aut$4http://id.loc.gov/vocabulary/relators/aut$067615 702 $aHuang$b Hansong$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910131385503321 996 $aMultiplication Operators on the Bergman Space$92056990 997 $aUNINA