000			02238nam a22004098i 4500
001			CR9780511897467
003			UkCbUP
005			20200124160241.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101123s1990||||enk o ||1 0|eng|d
020			_a9780511897467 (ebook)
020			_z9780521330114 (hardback)
020			_z9780521090940 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC20.7.F84 _bC37 1990
082	0	0	_a515.7 _220
100	1		_aCarl, Bernd, _eauthor.
245	1	0	_aEntropy, compactness, and the approximation of operators / _cBernd Carl, Irmtraud Stephani.
246	3		_aEntropy, Compactness & the Approximation of Operators
264		1	_aCambridge : _bCambridge University Press, _c1990.
300			_a1 online resource (x, 277 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v98
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aEntropy quantities are connected with the 'degree of compactness' of compact or precompact spaces, and so are appropriate tools for investigating linear and compact operators between Banach spaces. The main intention of this Tract is to study the relations between compactness and other analytical properties, e.g. approximability and eigenvalue sequences, of such operators. The authors present many generalized results, some of which have not appeared in the literature before. In the final chapter, the authors demonstrate that, to a certain extent, the geometry of Banach spaces can also be developed on the basis of operator theory. All mathematicians working in functional analysis and operator theory will welcome this work as a reference or for advanced graduate courses.
650		0	_aFunctional analysis.
650		0	_aEntropy (Information theory)
650		0	_aApproximation theory.
650		0	_aOperator theory.
700	1		_aStephani, Irmtraud, _eauthor.
776	0	8	_iPrint version: _z9780521330114
830		0	_aCambridge tracts in mathematics ; _v98.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511897467
999			_c518568 _d518566