000 02596nam a22004695i 4500
001 u374194
003 SIRSI
005 20160812084222.0
007 cr nn 008mamaa
008 100427s2010 gw | s |||| 0|eng d
020 _a9783642121531
_9978-3-642-12153-1
040 _cMX-MeUAM
050 4 _aQA319-329.9
082 0 4 _a515.7
_223
100 1 _aDodos, Pandelis.
_eauthor.
245 1 0 _aBanach Spaces and Descriptive Set Theory: Selected Topics
_h[recurso electrónico] /
_cby Pandelis Dodos.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aX, 160p.
_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 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aCombinatorics.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aCombinatorics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642121524
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1993
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-12153-1
596 _a19
942 _cLIBRO_ELEC
999 _c202074
_d202074