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001			291786
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007			cr nn 008mamaa
008			150903s2008 xxk| o |||| 0|eng d
020			_a9781848000056 _99781848000056
024	7		_a10.1007/9781848000056 _2doi
035			_avtls000344118
039		9	_a201509030407 _bVLOAD _c201405050302 _dVLOAD _y201402061248 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA319-329.9
100	1		_aRynne, Bryan P. _eautor _9323230
245	1	0	_aLinear Functional Analysis / _cby Bryan P. Rynne, Martin A. Youngson.
264		1	_aLondon : _bSpringer London, _c2008.
300			_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		_aSpringer Undergraduate Mathematics Series, _x1615-2085
500			_aSpringer eBooks
505	0		_aPreliminaries -- Normed Spaces -- Inner Product Spaces, Hilbert Spaces -- Linear Operators -- Duality and the Hahn—Banach Theorem -- Linear Operators on Hilbert Spaces -- Compact Operators -- Integral and Differential Equations -- Solutions to Exercises.
520			_aThis introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations. Further highlights of the second edition include: a new chapter on the Hahn–Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis; extended coverage of the uniform boundedness theorem; plenty of exercises, with solutions provided at the back of the book. Praise for the first edition: "The authors write with a strong narrative thrust and a sensitive appreciation of the needs of the average student so that, by the final chapter, there is a real feeling of having 'gotten somewhere worth getting' by a sensibly paced, clearly signposted route." Mathematical Gazette "It is a fine book, with material well-organized and well-presented. A particularly useful feature is the material on compact operators and applications to differential equations." CHOICE
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aYoungson, Martin A. _eautor _9323231
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781848000049
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84800-005-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c291786 _d291786