02806nam 2200649 450 99646659180331620220912185557.03-540-69192-810.1007/BFb0093548(CKB)1000000000437349(SSID)ssj0000323897(PQKBManifestationID)12072477(PQKBTitleCode)TC0000323897(PQKBWorkID)10304421(PQKB)11103017(DE-He213)978-3-540-69192-1(MiAaPQ)EBC5576622(Au-PeEL)EBL5576622(OCoLC)1066184054(MiAaPQ)EBC6842455(Au-PeEL)EBL6842455(OCoLC)1159641341(PPN)155232932(EXLCZ)99100000000043734920220912d1997 uy 0engurnn#008mamaatxtccrIdeal spaces /Martin Vath1st ed. 1997.Berlin, Germany :Springer-Verlag,[1997]©19971 online resource (VI, 150 p.)Lecture Notes in Mathematics ;1664Bibliographic Level Mode of Issuance: Monograph3-540-63160-7 Introduction -- 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.Ideal 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.Lecture notes in mathematics (Springer-Verlag) ;1664.Ideal spacesLogic, Symbolic and mathematicalFunctional analysisIdeal spaces.Logic, Symbolic and mathematical.Functional analysis.515.7346E30mscVäth Martin1967-61875MiAaPQMiAaPQMiAaPQBOOK996466591803316Ideal spaces78828UNISA