LEADER 02816nam 2200601 450 001 996466631503316 005 20220918223059.0 010 $a3-540-48279-2 024 7 $a10.1007/BFb0096184 035 $a(CKB)1000000000437301 035 $a(SSID)ssj0000325390 035 $a(PQKBManifestationID)12116394 035 $a(PQKBTitleCode)TC0000325390 035 $a(PQKBWorkID)10324058 035 $a(PQKB)10074367 035 $a(DE-He213)978-3-540-48279-6 035 $a(MiAaPQ)EBC5579379 035 $a(Au-PeEL)EBL5579379 035 $a(OCoLC)1066187758 035 $a(MiAaPQ)EBC6875978 035 $a(Au-PeEL)EBL6875978 035 $a(PPN)155223070 035 $a(EXLCZ)991000000000437301 100 $a20220918d1999 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOperator algebras generated by commuting projections $ea vector measure approach /$fWerner Ricker 205 $a1st ed. 1999. 210 1$aBerlin, Germany :$cSpringer,$d[1999] 210 4$dİ1999 215 $a1 online resource (XVIII, 166 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1711 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-66461-0 327 $aVector measures and Banach spaces -- Abstract Boolean algebras and Stone spaces -- Boolean algebras of projections and uniformly closed operator algebras -- Ranges of spectral measures and Boolean algebras of projections -- Integral representation of the strongly closed algebra generated by a Boolean algebra of projections -- Bade functionals: an application to scalar-type spectral operators -- The reflexivity theorem and bicommutant algebras. 330 $aThis book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1711 606 $aOperator algebras 615 0$aOperator algebras. 676 $a510 686 $a47D30$2msc 686 $a28B05$2msc 700 $aRicker$b Werner$f1954-$062482 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466631503316 996 $aOperator algebras generated by commuting projections$978775 997 $aUNISA