03056nam 22006855 450 99646665770331620200705091617.03-642-20438-410.1007/978-3-642-20438-8(CKB)2670000000096125(SSID)ssj0000506040(PQKBManifestationID)11341136(PQKBTitleCode)TC0000506040(PQKBWorkID)10512893(PQKB)10323231(DE-He213)978-3-642-20438-8(MiAaPQ)EBC3066848(PPN)153867779(EXLCZ)99267000000009612520110620d2011 u| 0engurnn|008mamaatxtccrClassical Summation in Commutative and Noncommutative Lp-Spaces[electronic resource] /by Andreas Defant1st ed. 2011.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2011.1 online resource (VIII, 171 p. 17 illus.) Lecture Notes in Mathematics,0075-8434 ;2021Bibliographic Level Mode of Issuance: Monograph3-642-20437-6 Includes bibliographical references and indexes.1 Introduction -- 2 Commutative Theory -- 3 Noncommutative Theory.The 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).Lecture Notes in Mathematics,0075-8434 ;2021Mathematical analysisAnalysis (Mathematics)Functional analysisFourier analysisProbabilitiesAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Mathematical analysis.Analysis (Mathematics).Functional analysis.Fourier analysis.Probabilities.Analysis.Functional Analysis.Fourier Analysis.Probability Theory and Stochastic Processes.515Defant Andreasauthttp://id.loc.gov/vocabulary/relators/aut60538BOOK996466657703316Classical summation in commutative and noncommutative Lp-spaces261808UNISA