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001 978-0-387-85529-5
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005 20210118114613.0
007 cr nn 008mamaa
008 110406s2009 xxu| s |||| 0|eng d
020 _a9780387855295
_9978-0-387-85529-5
024 _a10.1007/978-0-387-85529-5
_2doi
050 _aQA319-329.9
072 _aPBKF
_2bicssc
072 _aMAT037000
_2bisacsh
072 _aPBKF
_2thema
082 _a515.7
_223
100 _aMacCluer, Barbara.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 _aElementary Functional Analysis
_h[electronic resource] /
_cby Barbara MacCluer.
250 _a1st ed. 2009.
264 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2009.
300 _aX, 208 p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v253
505 _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).
650 _aFunctional analysis.
650 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
710 _aSpringerLink (Online service)
773 _tSpringer Nature eBook
776 _iPrinted edition:
_z9781441927538
776 _iPrinted edition:
_z9780387855851
776 _iPrinted edition:
_z9780387855288
776 _iPrinted edition:
_z9781493991105
830 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v253
856 _uhttps://doi.org/10.1007/978-0-387-85529-5
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c9352
_d9352