LEADER 00824nam a2200253 i 4500 001 991004367625407536 005 20250217182351.0 008 250217s1997 it er 000 0 lat d 020 $a8887143013 040 $aBibl. Dip.le Aggr. Studi Umanistici - Sez. Filosofia$bita$cSocioculturale Scs 041 0 $alat 082 04$a128.3$223 100 1 $aDescartes, René$0340660 245 10$aPassiones animae /$cRené Descartes 250 $aRistampa anastatica dell'ed. 1650 260 $aLecce :$bConte,$c1997 300 $aV, 98 p. ;$c22 cm 500 $aRiproduzione dell'edizione: Amstelodami : apud L. Elzevirium, 1650 500 $aEdizione di 500 esemplari numerati 650 4$aPassioni$xFilosofia 650 4$aRazionalità 912 $a991004367625407536 996 $aPassiones animae$94314629 997 $aUNISALENTO LEADER 03940nam 22006135 450 001 9910300099803321 005 20251116204440.0 010 $a3-319-92004-9 024 7 $a10.1007/978-3-319-92004-7 035 $a(CKB)4100000005323070 035 $a(DE-He213)978-3-319-92004-7 035 $a(MiAaPQ)EBC6209514 035 $a(PPN)229502814 035 $a(EXLCZ)994100000005323070 100 $a20180709d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Course in Functional Analysis and Measure Theory /$fby Vladimir Kadets 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XXII, 539 p.) 225 1 $aUniversitext,$x0172-5939 311 08$a3-319-92003-0 327 $aIntroduction -- Chapter 1. Metric and topological spaces -- Chapter 2. Measure theory -- Chapter 3. Measurable functions -- Chapter 4. The Lebesgue integral -- Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem -- Chapter 6. Normed spaces -- Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral -- Chapter 8. The integral on C(K) -- Chapter 9. Continuous linear functionals -- Chapter 10. Classical theorems on continuous operators -- Chapter 11. Elements of spectral theory of operators. Compact operators -- Chapter 12. Hilbert spaces -- Chapter 13. Functions of an operator -- Chapter 14. Operators in Lp -- Chapter 15. Fixed-point theorems and applications -- Chapter 16. Topological vector spaces -- Chapter 17. Elements of duality theory -- Chapter 18. The Krein-Milman theorem and applications -- References. Index. 330 $aWritten by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses. 410 0$aUniversitext,$x0172-5939 606 $aFunctional analysis 606 $aMeasure theory 606 $aOperator theory 606 $aFunctions of real variables 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 615 0$aFunctional analysis. 615 0$aMeasure theory. 615 0$aOperator theory. 615 0$aFunctions of real variables. 615 14$aFunctional Analysis. 615 24$aMeasure and Integration. 615 24$aOperator Theory. 615 24$aReal Functions. 676 $a515.7 700 $aKadet?s?$b V. M$g(Vladimir M.),$4aut$4http://id.loc.gov/vocabulary/relators/aut$059669 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300099803321 996 $a???? ??????????????? ???????$91779199 997 $aUNINA