000 02390nam a22003738i 4500
001 CR9780511526145
003 UkCbUP
005 20200124160235.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090406s1998||||enk o ||1 0|eng|d
020 _a9780511526145 (ebook)
020 _z9780521624626 (hardback)
020 _z9780521054317 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA322.2
_b.P54 1998
082 0 0 _a515/.732
_221
100 1 _aPietsch, A.
_q(Albrecht),
_eauthor.
245 1 0 _aOrthonormal systems and Banach space geometry /
_cAlbrecht Pietsch & Jörg Wenzel.
246 3 _aOrthonormal Systems & Banach Space Geometry
264 1 _aCambridge :
_bCambridge University Press,
_c1998.
300 _a1 online resource (ix, 553 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 70
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aOrthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra.
650 0 _aBanach spaces.
700 1 _aWenzel, Jörg,
_eauthor.
776 0 8 _iPrint version:
_z9780521624626
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 70.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511526145
999 _c518044
_d518042