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024 7 $a10.1007/BFb0096184
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035   $a(DE-He213)978-3-540-48279-6
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100   $a20121227d1999      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aOperator Algebras Generated by Commuting Projections: A Vector Measure Approach /$fby Werner Ricker
205   $a1st ed. 1999.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999.
215   $a1 online resource (XVIII, 166 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1711
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$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,$x1617-9692 ;$v1711
606   $aOperator theory
606   $aOperator Theory
615  0$aOperator theory.
615 14$aOperator Theory.
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   $a9910146310403321
996   $aOperator algebras generated by commuting projections$978775
997   $aUNINA