000			03426nam a22005055i 4500
001			978-1-4419-7515-7
003			DE-He213
005			20140220083724.0
007			cr nn 008mamaa
008			110202s2011 xxu| s |||| 0|eng d
020			_a9781441975157 _9978-1-4419-7515-7
024	7		_a10.1007/978-1-4419-7515-7 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aFabian, Marián. _eauthor.
245	1	0	_aBanach Space Theory _h[electronic resource] : _bThe Basis for Linear and Nonlinear Analysis / _cby Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aXIV, 822p. 40 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC, _x1613-5237
505	0		_aPreface -- Basic Concepts in Banach Spaces -- Hahn-Banach and Banach Open Mapping Theorems -- Weak Topologies and Banach Spaces -- Schauder Bases -- Structure of Banach Spaces -- Finite-Dimensional Spaces -- Optimization -- C^1 Smoothness in Separable Spaces -- Superreflexive Spaces -- Higher Order Smoothness -- Dentability and differentiability -- Basics in Nonlinear Geometric Analysis -- Weakly Compactly Generated Spaces -- Topics in Weak Topologies on Banach Spaces -- Compact Operators on Banach Spaces -- Tensor Products -- Appendix -- References -- Symbol Index -- Subject Index -- Author Index.
520			_aBanach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aTopology.
700	1		_aHabala, Petr. _eauthor.
700	1		_aHájek, Petr. _eauthor.
700	1		_aMontesinos, Vicente. _eauthor.
700	1		_aZizler, Václav. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441975140
830		0	_aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC, _x1613-5237
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-7515-7
912			_aZDB-2-SMA
999			_c105784 _d105784