03567nam 22006735 450 99646648400331620200701234545.03-642-12153-510.1007/978-3-642-12153-1(CKB)2550000000011251(SSID)ssj0000399623(PQKBManifestationID)11297916(PQKBTitleCode)TC0000399623(PQKBWorkID)10385512(PQKB)10910184(DE-He213)978-3-642-12153-1(MiAaPQ)EBC3065205(PPN)149078609(EXLCZ)99255000000001125120100427d2010 u| 0engurnn|008mamaatxtccrBanach Spaces and Descriptive Set Theory: Selected Topics[electronic resource] /by Pandelis Dodos1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XII, 168 p.) Lecture Notes in Mathematics,0075-8434 ;1993Bibliographic Level Mode of Issuance: Monograph3-642-12152-7 Includes bibliographical references (p. 155-157) and index.Basic 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.This 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.Lecture Notes in Mathematics,0075-8434 ;1993Discrete mathematicsFunctional analysisMathematical logicCombinatoricsDiscrete Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M29000Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Mathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Discrete mathematics.Functional analysis.Mathematical logic.Combinatorics.Discrete Mathematics.Functional Analysis.Mathematical Logic and Foundations.Combinatorics.515.73246B0346B1546B0746B7046M4003E1503E7505D10mscDodos Pandelisauthttp://id.loc.gov/vocabulary/relators/aut478938BOOK996466484003316Banach spaces and descriptive set theory261791UNISA