LEADER 00857nam0 2200265 450 001 000006566 005 20090323141017.0 010 $a0-415-70008-6 100 $a20060301d2005----km-y0itay50------ba 101 0 $aeng 102 $aGB 105 $ay-------001yy 200 1 $aAdvanced mathematical economics$fRakesh V. Vohra 210 $aLondon$cRoutledge$d2005 215 $a194 p.$d24 cm 225 2 $aRoutledge advanced texts in economics and finance 410 0$12001$aRoutledge advanced texts in economics and finance 500 10$aAdvanced mathematical economics$937778 610 1 $aModelli e metodi matematici 700 1$aVohra,$bRakesh V.$0630474 801 0$aIT$bUNIPARTHENOPE$c20090323$gRICA$2UNIMARC 912 $a000006566 951 $a213/129$b10563$cNAVA2$d2006 996 $aAdvanced mathematical economics$937778 997 $aUNIPARTHENOPE 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