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024 7 $a10.1007/978-3-642-12153-1
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035   $a(DE-He213)978-3-642-12153-1
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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