000			02130nam a22003498i 4500
001			CR9780511614057
003			UkCbUP
005			20200124160220.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090914s2005||||enk o ||1 0|eng|d
020			_a9780511614057 (ebook)
020			_z9780521842839 (hardback)
020			_z9780521603720 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA322.2 _b.C37 2005
082	0	0	_a515/.732 _222
100	1		_aCarothers, N. L., _d1952- _eauthor.
245	1	2	_aA short course on Banach space theory / _cN.L. Carothers.
264		1	_aCambridge : _bCambridge University Press, _c2005.
300			_a1 online resource (xii, 184 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society student texts ; _v64
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course.
650		0	_aBanach spaces.
776	0	8	_iPrint version: _z9780521842839
830		0	_aLondon Mathematical Society student texts ; _v64.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511614057
999			_c516676 _d516674