LEADER 03567nam 22006735 450 001 996466484003316 005 20200701234545.0 010 $a3-642-12153-5 024 7 $a10.1007/978-3-642-12153-1 035 $a(CKB)2550000000011251 035 $a(SSID)ssj0000399623 035 $a(PQKBManifestationID)11297916 035 $a(PQKBTitleCode)TC0000399623 035 $a(PQKBWorkID)10385512 035 $a(PQKB)10910184 035 $a(DE-He213)978-3-642-12153-1 035 $a(MiAaPQ)EBC3065205 035 $a(PPN)149078609 035 $a(EXLCZ)992550000000011251 100 $a20100427d2010 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aBanach Spaces and Descriptive Set Theory: Selected Topics$b[electronic resource] /$fby Pandelis Dodos 205 $a1st ed. 2010. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010. 215 $a1 online resource (XII, 168 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1993 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-12152-7 320 $aIncludes bibliographical references (p. 155-157) and index. 327 $aBasic Concepts -- The Standard Borel Space of All Separable Banach Spaces -- The ?2 Baire Sum -- Amalgamated Spaces -- Zippin?s Embedding Theorem -- The Bourgain?Pisier Construction -- Strongly Bounded Classes of Banach Spaces. 330 $aThis volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous ?intermediate? results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1993 606 $aDiscrete mathematics 606 $aFunctional analysis 606 $aMathematical logic 606 $aCombinatorics 606 $aDiscrete Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29000 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aDiscrete mathematics. 615 0$aFunctional analysis. 615 0$aMathematical logic. 615 0$aCombinatorics. 615 14$aDiscrete Mathematics. 615 24$aFunctional Analysis. 615 24$aMathematical Logic and Foundations. 615 24$aCombinatorics. 676 $a515.732 686 $a46B03$a46B15$a46B07$a46B70$a46M40$a03E15$a03E75$a05D10$2msc 700 $aDodos$b Pandelis$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478938 906 $aBOOK 912 $a996466484003316 996 $aBanach spaces and descriptive set theory$9261791 997 $aUNISA LEADER 01368nam 2200325 n 450 001 996391944603316 005 20221108042134.0 035 $a(CKB)1000000000670086 035 $a(EEBO)2248526409 035 $a(UnM)99848148 035 $a(EXLCZ)991000000000670086 100 $a19911230d1612 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 00$aTwo homilies concerning the meanes how to resolue the controversies of this time. First written in French, by Ph. Mornay, and now translated into English$b[electronic resource] 210 $aAt Oxford $cPrinted by Ioseph Barnes$d1612 215 $a[4], 138 p 300 $aA translation of: Deux homélies du moyen de se résoudre sur les controverses de ce temps. 300 $aA variant of the edition omitting the author's name from the title page. 300 $aReproduction of the original in the Henry E. Huntington Library and Art Gallery. 330 $aeebo-0113 700 $aMornay$b Philippe de$cseigneur du Plessis-Marly,$f1549-1623.$0889038 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996391944603316 996 $aTwo homilies concerning the meanes how to resolue the controversies of this time. First written in French, by Ph. Mornay, and now translated into English$92426820 997 $aUNISA