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001 978-3-642-12153-1
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005 20190213151803.0
007 cr nn 008mamaa
008 100427s2010 gw | s |||| 0|eng d
020 _a9783642121531
_9978-3-642-12153-1
024 7 _a10.1007/978-3-642-12153-1
_2doi
050 4 _aQA150-272
072 7 _aPBD
_2bicssc
072 7 _aMAT008000
_2bisacsh
072 7 _aPBD
_2thema
082 0 4 _a511.1
_223
100 1 _aDodos, Pandelis.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aBanach Spaces and Descriptive Set Theory: Selected Topics
_h[electronic resource] /
_cby Pandelis Dodos.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXII, 168 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1993
505 0 _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.
520 _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.
650 0 _aFunctional analysis.
650 0 _aLogic, Symbolic and mathematical.
650 0 _aCombinatorics.
650 1 4 _aDiscrete Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M29000
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aMathematical Logic and Foundations.
_0http://scigraph.springernature.com/things/product-market-codes/M24005
650 2 4 _aCombinatorics.
_0http://scigraph.springernature.com/things/product-market-codes/M29010
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642121524
776 0 8 _iPrinted edition:
_z9783642121548
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1993
856 4 0 _uhttps://doi.org/10.1007/978-3-642-12153-1
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11884
_d11884