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008			150903s2011 xxu| o |||| 0|eng d
020			_a9781461405290 _99781461405290
024	7		_a10.1007/9781461405290 _2doi
035			_avtls000340323
039		9	_a201509030347 _bVLOAD _c201404300413 _dVLOAD _y201402061022 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA319-329.9
100	1		_aK?kol, Jerzy. _eautor _9316005
245	1	0	_aDescriptive Topology in Selected Topics of Functional Analysis / _cby Jerzy K?kol, Wies?aw Kubi?, Manuel López-Pellicer.
264		1	_aBoston, MA : _bSpringer US, _c2011.
300			_axii, 496 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aDevelopments in Mathematics, _x1389-2177 ; _v24
500			_aSpringer eBooks
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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aKubi?, Wies?aw. _eautor _9316006
700	1		_aLópez-Pellicer, Manuel. _eautor _9316007
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781461405283
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-0529-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c287027 _d287027