000			01946nam a2200265Ia 4500
003			OSt
005			20250722094405.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9781441975140
040			_aCSL _beng _cCSL
041			_aeng
084			_aB43N63 Q1 TB _qCSL
245		0	_aBanach Space Theory _b: The Basis for Linear and Nonlinear Analysis
260			_aNew York : _bSpringer, _c2011.
300			_axiii, 820p.
490			_aCMS Books in Mathematics
500			_aIncludes References 751-776p.; Index 777-820p.
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			_aBanach space theory. _9816257
650			_aLinear and nonlinear analysis. _9816258
650			_aMathematics.
700			_aFabian, Marian _eauthor. _9816259
942			_hB43N63 Q1 TB _cTEXL _2CC _n0
999			_c14470 _d14470