| 000 | 02644nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-12153-1 | ||
| 003 | DE-He213 | ||
| 005 | 20140220084533.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100427s2010 gw | s |||| 0|eng d | ||
| 020 |
_a9783642121531 _9978-3-642-12153-1 |
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| 024 | 7 |
_a10.1007/978-3-642-12153-1 _2doi |
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| 050 | 4 | _aQA319-329.9 | |
| 072 | 7 |
_aPBKF _2bicssc |
|
| 072 | 7 |
_aMAT037000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.7 _223 |
| 100 | 1 |
_aDodos, Pandelis. _eauthor. |
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| 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. |
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| 300 |
_aX, 160p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1993 |
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| 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 | _uhttp://dx.doi.org/10.1007/978-3-642-12153-1 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c112007 _d112007 |
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