LEADER 02463nam 2200553Ia 450 001 9910483540203321 005 20200520144314.0 010 $a3-540-87565-4 024 7 $a10.1007/978-3-540-87565-9 035 $a(CKB)1000000000546314 035 $a(SSID)ssj0000319286 035 $a(PQKBManifestationID)11277208 035 $a(PQKBTitleCode)TC0000319286 035 $a(PQKBWorkID)10336417 035 $a(PQKB)10587013 035 $a(DE-He213)978-3-540-87565-9 035 $a(MiAaPQ)EBC3063886 035 $a(PPN)132868407 035 $a(EXLCZ)991000000000546314 100 $a20081222d2009 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOperator-valued measures and integrals for cone-valued functions /$fWalter Roth 205 $a1st ed. 2009. 210 $aBerlin $cSpringer$dc2009 215 $a1 online resource (X, 356 p.) 225 1 $aLecture notes in mathematics ;$v1964 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-87564-6 320 $aIncludes bibliographical references (p. 345-352) and index. 327 $aLocally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces. 330 $aIntegration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures, whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1964. 606 $aOperator-valued measures 606 $aIntegrals 615 0$aOperator-valued measures. 615 0$aIntegrals. 676 $a515.42 700 $aRoth$b Walter$f1947-$01750251 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483540203321 996 $aOperator-valued measures and integrals for cone-valued functions$94184840 997 $aUNINA