LEADER 02806nam 2200649 450 001 996466591803316 005 20220912185557.0 010 $a3-540-69192-8 024 7 $a10.1007/BFb0093548 035 $a(CKB)1000000000437349 035 $a(SSID)ssj0000323897 035 $a(PQKBManifestationID)12072477 035 $a(PQKBTitleCode)TC0000323897 035 $a(PQKBWorkID)10304421 035 $a(PQKB)11103017 035 $a(DE-He213)978-3-540-69192-1 035 $a(MiAaPQ)EBC5576622 035 $a(Au-PeEL)EBL5576622 035 $a(OCoLC)1066184054 035 $a(MiAaPQ)EBC6842455 035 $a(Au-PeEL)EBL6842455 035 $a(OCoLC)1159641341 035 $a(PPN)155232932 035 $a(EXLCZ)991000000000437349 100 $a20220912d1997 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIdeal spaces /$fMartin Vath 205 $a1st ed. 1997. 210 1$aBerlin, Germany :$cSpringer-Verlag,$d[1997] 210 4$dİ1997 215 $a1 online resource (VI, 150 p.) 225 1 $aLecture Notes in Mathematics ;$v1664 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63160-7 327 $aIntroduction -- Basic definitions and properties -- Ideal spaces with additional properties -- Ideal spaces on product measures and calculus -- Operators and applications -- Appendix: Some measurability results -- Sup-measurable operator functions -- Majorising principles for measurable operator functions -- A generalization of a theorem of Luxemburg-Gribanov -- References -- Index. 330 $aIdeal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1664. 606 $aIdeal spaces 606 $aLogic, Symbolic and mathematical 606 $aFunctional analysis 615 0$aIdeal spaces. 615 0$aLogic, Symbolic and mathematical. 615 0$aFunctional analysis. 676 $a515.73 686 $a46E30$2msc 700 $aVa?th$b Martin$f1967-$061875 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466591803316 996 $aIdeal spaces$978828 997 $aUNISA