LEADER 03056nam 22006855 450 001 996466657703316 005 20200705091617.0 010 $a3-642-20438-4 024 7 $a10.1007/978-3-642-20438-8 035 $a(CKB)2670000000096125 035 $a(SSID)ssj0000506040 035 $a(PQKBManifestationID)11341136 035 $a(PQKBTitleCode)TC0000506040 035 $a(PQKBWorkID)10512893 035 $a(PQKB)10323231 035 $a(DE-He213)978-3-642-20438-8 035 $a(MiAaPQ)EBC3066848 035 $a(PPN)153867779 035 $a(EXLCZ)992670000000096125 100 $a20110620d2011 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aClassical Summation in Commutative and Noncommutative Lp-Spaces$b[electronic resource] /$fby Andreas Defant 205 $a1st ed. 2011. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011. 215 $a1 online resource (VIII, 171 p. 17 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2021 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-20437-6 320 $aIncludes bibliographical references and indexes. 327 $a1 Introduction -- 2 Commutative Theory -- 3 Noncommutative Theory. 330 $aThe aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space  together with a faithful normal state on this algebra). 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2021 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aFunctional analysis 606 $aFourier analysis 606 $aProbabilities 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aFunctional analysis. 615 0$aFourier analysis. 615 0$aProbabilities. 615 14$aAnalysis. 615 24$aFunctional Analysis. 615 24$aFourier Analysis. 615 24$aProbability Theory and Stochastic Processes. 676 $a515 700 $aDefant$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$060538 906 $aBOOK 912 $a996466657703316 996 $aClassical summation in commutative and noncommutative Lp-spaces$9261808 997 $aUNISA