000			02123nam a22003738i 4500
001			CR9780511662454
003			UkCbUP
005			20200124160236.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1989||||enk o ||1 0|eng|d
020			_a9780511662454 (ebook)
020			_z9780521364652 (hardback)
020			_z9780521666350 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA322.2 _b.P57 1989
082	0	0	_a515.7/32 _219
100	1		_aPisier, Gilles, _d1950- _eauthor.
245	1	4	_aThe volume of convex bodies and Banach space geometry / _cGilles Pisier.
246	3		_aThe Volume of Convex Bodies & Banach Space Geometry
264		1	_aCambridge : _bCambridge University Press, _c1989.
300			_a1 online resource (xv, 250 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v94
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas.
650		0	_aBanach spaces.
650		0	_aInequalities (Mathematics)
776	0	8	_iPrint version: _z9780521364652
830		0	_aCambridge tracts in mathematics ; _v94.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511662454
999			_c518095 _d518093