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001			279456
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008			150903s2009 xxu| o |||| 0|eng d
020			_a9780387855295 _99780387855295
024	7		_a10.1007/9780387855295 _2doi
035			_avtls000333122
039		9	_a201509030213 _bVLOAD _c201404122348 _dVLOAD _c201404092127 _dVLOAD _y201402041103 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
100	1		_aMacCluer, Barbara. _eautor _9303781
245	1	0	_aElementary Functional Analysis / _cby Barbara MacCluer.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_ax, 208 páginas 5 ilustraciones _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		_aGraduate Texts in Mathematics, _x0072-5285 ; _v253
500			_aSpringer eBooks
505	0		_aHilbert Space Preliminaries -- Operator Theory Basics -- The Big Three -- Compact Operators -- Banach and C -Algebras -- The Spectral Theorem.
520			_aThis text is intended for a one-semester introductory course in functional analysis for graduate students and well-prepared advanced undergraduates in mathematics and related fields. It is also suitable for self-study, and could be used for an independent reading course for undergraduates preparing to start graduate school. While this book is relatively short, the author has not sacrificed detail. Arguments are presented in full, and many examples are discussed, making the book ideal for the reader who may be learning the material on his or her own, without the benefit of a formal course or instructor. Each chapter concludes with an extensive collection of exercises. The choice of topics presented represents not only the author's preferences, but also her desire to start with the basics and still travel a lively path through some significant parts of modern functional analysis. The text includes some historical commentary, reflecting the author's belief that some understanding of the historical context of the development of any field in mathematics both deepens and enlivens one's appreciation of the subject. The prerequisites for this book include undergraduate courses in real analysis and linear algebra, and some acquaintance with the basic notions of point set topology. An Appendix provides an expository discussion of the more advanced real analysis prerequisites, which play a role primarily in later sections of the book. Barbara MacCluer is Professor of Mathematics at University of Virginia. She also co-authored a book with Carl Cowen, Composition Operators on Spaces of Analytic Functions (CRC 1995).
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387855288
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-85529-5 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c279456 _d279456