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001			u372434
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005			20160812084058.0
007			cr nn 008mamaa
008			110823s2011 xxu| s |||| 0|eng d
020			_a9781461405290 _9978-1-4614-0529-0
040			_cMX-MeUAM
050		4	_aQA319-329.9
082	0	4	_a515.7 _223
100	1		_aKakol, Jerzy. _eauthor.
245	1	0	_aDescriptive Topology in Selected Topics of Functional Analysis _h[recurso electrónico] / _cby Jerzy Kakol, Wieslaw Kubis, Manuel López-Pellicer.
264		1	_aBoston, MA : _bSpringer US, _c2011.
300			_aXII, 496 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aDevelopments in Mathematics, _x1389-2177 ; _v24
505	0		_aPreface -- 1. Overview -- 2. Elementary Facts about Baire and Baire-Type Spaces -- 3. K-analytic and quasi-Suslin Spaces -- 4. Web-Compact Spaces and Angelic Theorems -- 5. Strongly Web-Compact Spaces and a Closed Graph Theorem -- 6. Weakly Analytic Spaces -- 7. K-analytic Baire Spaces -- 8. A Three-Space Property for Analytic Spaces -- 9. K-analytic and Analytic Spaces Cp(X) -- 10. Precompact sets in (LM)-Spaces and Dual Metric Spaces -- 11. Metrizability of Compact Sets in the Class G -- 12. Weakly Realcompact Locally Convex Spaces -- 13. Corson’s Propery (C) and tightness -- 14. Fréchet-Urysohn Spaces and Groups -- 15. Sequential Properties in the Class G -- 16. Tightness and Distinguished Fréchet Spaces -- 17. Banach Spaces with Many Projections -- 18. Spaces of Continuous Functions Over Compact Lines -- 19. Compact Spaces Generated by Retractions -- 20. Complementably Universival Banach Space -- Index.
520			_aA large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. As the first monograph to approach the topic of topological vector spaces from the perspective of descriptive topology, this work provides also new insights into the connections between the topological properties of linear function spaces and their role in functional analysis.  Descriptive Topology in Selected Topics of Functional Analysis is a self-contained volume that applies recent developments and classical results in descriptive topology to study the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, LF-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in distribution theory, differential equations, complex analysis, and various other areas of functional analysis. Written by three experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areas of point-set and descriptive topology, modern analysis, set theory, topological vector spaces and Banach spaces, and continuous function spaces.  Moreover, it will serve as a reference for present and future work done in this area and could serve as a valuable supplement to advanced graduate courses in functional analysis, set-theoretic topology, or the theory of function spaces.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aFunctions, special.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aTopology.
650	2	4	_aSpecial Functions.
700	1		_aKubis, Wieslaw. _eauthor.
700	1		_aLópez-Pellicer, Manuel. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461405283
830		0	_aDevelopments in Mathematics, _x1389-2177 ; _v24
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4614-0529-0
596			_a19
942			_cLIBRO_ELEC
999			_c200314 _d200314