LEADER 00853nam0-22003131i-450- 001 990004966460403321 005 20100730110733.0 010 $a0-7011-2538-1 035 $a000496646 035 $aFED01000496646 035 $a(Aleph)000496646FED01 035 $a000496646 100 $a19990604d1980----km-y0itay50------ba 101 0 $aeng 102 $aGB 105 $ay-------001gy 200 1 $aJohn Keats?s dream of truth$fHenry John Franklin Jones 210 $aLondon$cChatto and Windus$d1980 215 $a302 p.$d22 cm 225 1 $a<>Chatto and Windus paperback$v59 676 $a821 700 1$aJones,$bJohn$0352404 702 1$aKeats,$bJohn$f<1795-1821> 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990004966460403321 952 $aALPHA 2342$bFil. Mod. 32588$fFLFBC 959 $aFLFBC 997 $aUNINA LEADER 03882nam 22005175 450 001 9910254064803321 005 20200703235341.0 010 $a3-319-31557-9 024 7 $a10.1007/978-3-319-31557-7 035 $a(CKB)3710000000765124 035 $a(DE-He213)978-3-319-31557-7 035 $a(MiAaPQ)EBC6314558 035 $a(MiAaPQ)EBC5594497 035 $a(Au-PeEL)EBL5594497 035 $a(OCoLC)953970037 035 $a(PPN)19451207X 035 $a(EXLCZ)993710000000765124 100 $a20160719d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopics in Banach Space Theory /$fby Fernando Albiac, Nigel J. Kalton 205 $a2nd ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XX, 508 p. 23 illus., 14 illus. in color.) 225 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v233 311 $a3-319-31555-2 327 $a1. Bases and Basic Sequences -- 2. The Classical Sequence Spaces -- 3. Special Types of Bases -- 4. Banach Spaces of Continuous Functions -- 5. L_{1}(\mu )-Spaces and \mathcal C(K)-Spaces -- 6. The Spaces L_{p} for 1\le p^I Basic probability in use -- Appendix J Generalities on Ultraproducts -- Appendix K The Bochner Integral abridged -- List of Symbols -- References -- Index. 330 $aThis text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book?succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly? It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments? I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book?" ?Gilles Godefroy, Mathematical Reviews. 410 0$aGraduate Texts in Mathematics,$x0072-5285 ;$v233 606 $aFunctional analysis 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aFunctional analysis. 615 14$aFunctional Analysis. 676 $a515.7 700 $aAlbiac$b Fernando$4aut$4http://id.loc.gov/vocabulary/relators/aut$0314572 702 $aKalton$b Nigel J$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254064803321 996 $aTopics in Banach space theory$91092059 997 $aUNINA