02403nam 2200505 450 991047990270332120170816143252.00-8218-9907-4(CKB)3360000000464024(EBL)3113718(SSID)ssj0000910345(PQKBManifestationID)11944090(PQKBTitleCode)TC0000910345(PQKBWorkID)10941324(PQKB)11230159(MiAaPQ)EBC3113718(PPN)195409949(EXLCZ)99336000000046402420720316d1971 uy| 0engur|n|---|||||txtccrAbelian subalgebras of von Neumann algebras /by Donald BuresProvidence, Rhode Island :American Mathematical Society,1971.1 online resource (135 p.)Memoirs of the American Mathematical Society ;number 110Description based upon print version of record.0-8218-1810-4 Bibliography: pages 126-127.""Contents""; ""Â0 Remarks on notation""; ""PART I: Multiplicity in factors of Type II[sub(1)]""; ""Â1 The multiplicity of a projection""; ""Â2 The normal case""; ""Â3 The general case""; ""PART II: The von Neumann construction of factors""; ""Â4 m-groups with m abelian""; ""Â5 m-groups""; ""Â6 Subalgebras m of G with G strongly finite over m""; ""Â7 Substantial subalgebras""; ""Â 8 Relations between the type of G and the type of G(G, m)""; ""Â9 Construction of G containing a substantial subalgebra m with G(G , m) a given full m-group""; ""PART III: Thick subalgebras""""Â 10 Elementary properties""""Â 11 Strong orthogonality""; ""Â 12 A method for constructing thick subalgebras""; ""Â 13 Methods for determining the deficiency type and the multiplicity function""; ""Â14 Dixmier's example""; ""Â15 Some examples of thick subalgebras""Memoirs of the American Mathematical Society ;no. 110.Functional analysisElectronic books.Functional analysis.Bures Donald972696MiAaPQMiAaPQMiAaPQBOOK9910479902703321Abelian subalgebras of von Neumann algebras2212694UNINA