000 02614nam a22004098i 4500
001 CR9781316675762
003 UkCbUP
005 20200124160346.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 151210s2017||||enk o ||1 0|eng|d
020 _a9781316675762 (ebook)
020 _z9781107160514 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 _aeng
_hfre
050 4 _aQA322.2
_b.L513 2017
082 0 4 _a515.732
_223
100 1 _aLi, Daniel,
_eauthor.
240 1 0 _aIntroduction à l'étude des espaces de Banach.
_lEnglish
245 1 0 _aIntroduction to Banach spaces :
_banalysis and probability.
_nVolume 1 /
_cDaniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons.
264 1 _aCambridge :
_bCambridge University Press,
_c2017.
300 _a1 online resource (ix, 431 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v166
500 _aOriginally published in French as Introduction à l'étude des espaces de Banach by Société Mathématique de France, 2004.
500 _aTitle from publisher's bibliographic system (viewed on 10 Nov 2017).
520 _aThis two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
650 0 _aBanach spaces.
700 1 _aQueffélec, Hervé,
_eauthor.
700 1 _aGibbons, Danièle,
_etranslator.
700 1 _aGibbons, Greg,
_etranslator.
776 0 8 _iPrint version:
_z9781107160514
830 0 _aCambridge studies in advanced mathematics ;
_v166.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316675762
999 _c523911
_d523909