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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   $a20100301d2009      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aOperator-Valued Measures and Integrals for Cone-Valued Functions$b[electronic resource] /$fby Walter Roth
205   $a1st ed. 2009.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009.
215   $a1 online resource (X, 356 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$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,$x0075-8434 ;$v1964
606   $aMeasure theory
606   $aFunctional analysis
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
615  0$aMeasure theory.
615  0$aFunctional analysis.
615 14$aMeasure and Integration.
615 24$aFunctional Analysis.
676   $a515.42
700   $aRoth$b Walter$4aut$4http://id.loc.gov/vocabulary/relators/aut$0350426
906   $aBOOK
912   $a996466523603316
996   $aOperator-valued measures and integrals for cone-valued functions$9230313
997   $aUNISA