000			02298nam a22006257a 4500
999			_c21306 _d21305
003			OSt
005			20240105151640.0
008			240104s2020 enka b 001 0 eng d
020			_a9780521728393
040			_cQCPL _erda
082			_a515.7
100	1		_911236 _aRobinson, James C. _eauthor
245	1	3	_aAn introduction to functional analysis _c/ James C. Robinson
264		1	_aCambridge : _bCambridge University Press, _c2020
300			_axv, 403 pages : _billustrations
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
504			_aIncludes bibliographical references (pages 394-395) and index.
505	0		_aPart I. Preliminaries
505	0		_aVector space and bases
505	0		_aMetric spaces
505	0		_aPart II. Normed linear spaces
505	0		_aNorms and normed spaces
505	0		_aComplete normed spaces
505	0		_aFinite-dimensional normed spaces
505	0		_aSpaces of continuous functions
505	0		_aCompletions and the Lebesgue space
505	0		_aPart III. Hilbert spaces
505	0		_aHilbert spaces
505	0		_aOrthonormal sets and orthonormal bases for Hilbert spaces
505	0		_aClosest points and approximation
505	0		_aLinear maps between normed spaces
505	0		_aDual spaces and the Riesz representation theorem
505	0		_aThe Hilbert adjoint of a linear operator
505	0		_aThe spectrum of a bounded linear operator
505	0		_aThe spectrum of a bounded linear operator
505	0		_aCompact linear operators
505	0		_aThe Hilbert-Schmidt theorem
505	0		_aApplication : Sturm-Liouville problems
505	0		_aPart IV. Banach spaces
505	0		_aDual spaces of Banach spaces
505	0		_aThe Hahn-Banach theorem
505	0		_aSome applications of the Hahn-Banach theorem
505	0		_aConvex subsets of Banach Spaces
505	0		_aThe principle of uniform boundedness
505	0		_aThe open mapping, inverse mapping, and closed graph theorems
505	0		_aSpectral theory for compact operators
505	0		_aUnbounded operators on Hilbert spaces
505	0		_aReflexives spaces
505	0		_aWeak and weak--convergence
650			_aFunctional analysis
690			_910994 _aMathematics
942			_2ddc _cBOOK