02509nam 2200577 a 450 991078088010332120230725041534.01-282-76154-49786612761546981-4287-55-5(CKB)2490000000001881(EBL)731310(OCoLC)671648587(SSID)ssj0000424218(PQKBManifestationID)11965163(PQKBTitleCode)TC0000424218(PQKBWorkID)10474989(PQKB)11676288(MiAaPQ)EBC731310(WSP)00007466(Au-PeEL)EBL731310(CaPaEBR)ebr10422500(CaONFJC)MIL276154(EXLCZ)99249000000000188120100223d2010 uy 0engurcn|||||||||txtccrNonstandard methods in functional analysis[electronic resource] lectures and notes /Siu-Ah NgSingapore ;Hackensack, NJ World Scientificc20101 online resource (340 p.)Description based upon print version of record.981-4287-54-7 Includes bibliographical references and index.Preface; Convention and Symbols; List of Theorems; Contents; 1. Nonstandard Analysis; 2. Banach Spaces; 3. Banach Algebras; 4. Selected Research Topics; Suggestions for Further Reading; Bibliography; IndexIn the early 1960's, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis.Functional analysisNonstandard mathematical analysisFunctional analysis.Nonstandard mathematical analysis.515/.7Ng Siu-Ah614173MiAaPQMiAaPQMiAaPQBOOK9910780880103321Nonstandard methods in functional analysis3849602UNINA