000			04410cam a2200649Ki 4500
001			ocn893872840
003			OCoLC
005			20210602115007.0
006			m o d
007			cr cnu---unuuu
008			141027s1990 mau ob 001 0 eng d
040			_aOPELS _beng _erda _epn _cOPELS _dN$T _dE7B _dEBLCP _dNLGGC _dDEBSZ _dOCLCQ _dYDXCP _dMERUC _dOCLCQ _dOCLCO _dOCLCQ _dUMK _dOCLCO _dOCLCQ _dVLY _dLUN _dOCLCQ
019			_a893875000 _a898771737 _a935246831 _a1162033946
020			_a9780080924960 _q(electronic bk.)
020			_a0080924964 _q(electronic bk.)
020			_z0125113609
020			_z9780125113601
020			_a1493301640
020			_a9781493301645
035			_a(OCoLC)893872840 _z(OCoLC)893875000 _z(OCoLC)898771737 _z(OCoLC)935246831 _z(OCoLC)1162033946
050		4	_aQA326 _b.M87 1990eb
072		7	_aMAT _x002040 _2bisacsh
082	0	4	_a512/.55 _222
084			_a*46Lxx _2msc
084			_a46-02 _2msc
084			_a46H05 _2msc
084			_a46M20 _2msc
084			_a47C15 _2msc
100	1		_aMurphy, Gerard J.
245	1	0	_aC*-algebras and operator theory / _cGerard J. Murphy.
264		1	_aBoston : _bAcademic Press, _c�1990.
300			_a1 online resource (x, 286 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references (page 279.280) and index.
520			_aThis book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.
588	0		_aPrint version record.
505	0		_aFront Cover ; C*-Algebras and Operator Theory; Copyright Page; Table of Contents; Preface; Chapter 1. Elementary Spectral Theory; 1.1. Banach Algebras; 1.2. The Spectrum and the Spectral Radius; 1.3. The Gelfand Representation; 1.4. Compact and Fredholm Operators; Exercises; Addenda; Chapter 2. C*-Algebras and Hilbert Space Operators; 2.1. C*-Algebras; 2.2. Positive Elements of C*-Algebras; 2.3. Operators and Sesquilinear Forms; 2.4. Compact Hilbert Space Operators; 2.5. The Spectral Theorem; Exercises; Addenda; Chapter 3. Ideals and Positive Functionals; 3.1. Ideals in C*-Algebras.
505	8		_a3.2. Hereditary C*-Subalgebras3.3. Positive Linear Functionals; 3.4. The Gelfand-Naimark Representation; 3.5. Toeplitz Operators; Exercises; Addenda; Chapter 4. Von Neumann Algebras; 4.1. The Double Commutant Theorem; 4.2. The Weak and Ultraweak Topologies; 4.3. The Kaplansky Density Theorem; 4.4. Abelian Von Neumann Algebras; Exercises; Addenda; Chapter 5. Representations of C*-Algebras; 5.1. Irreducible Representations and Pure States; 5.2. The Transitivity Theorem; 5.3. Left Ideals of C*-Algebras; 5.4. Primitive Ideals; 5.5. Extensions and Restrictions of Representations.
505	8		_a5.6. Liminal and Postliminal C*-AlgebrasExercises; Addenda; Chapter 6. Direct Limits and Tensor Products; 6.1. Direct Limits of C*-Algebras; 6.2. Uniformly Hyperfinite Algebras; 6.3. Tensor Products of C*-Algebras; 6.4. Minimality of the Spatial C*-Norm; 6.5. Nuclear C*-Algebras and Short Exact Sequences; Exercises; Addenda; Chapter 7. K-Theory of C*-Algebras; 7.1. Elements of K-Theory; 7.2. The K-Theory of AF-Algebras; 7.3. Three Fundamental Results in K-Theory; 7.4. Stability; 7.5. Bott Periodicity; Exercises; Addenda; Appendix; Notes; References; Notation Index; Subject Index.
546			_aEnglish.
650		0	_aC*-algebras.
650		0	_aOperator theory.
650		6	_aC*-alg�ebres.
650		6	_aOp�erateurs, Th�eorie des.
650		7	_aMATHEMATICS _xAlgebra _xIntermediate. _2bisacsh
650		7	_aC*-algebras. _2fast _0(OCoLC)fst00843285
650		7	_aOperator theory. _2fast _0(OCoLC)fst01046419
650		7	_aC-Stern-Algebra _2gnd _0(DE-588)4136693-1
650		7	_aOperatortheorie _2gnd _0(DE-588)4075665-8
650		7	_aC _xalg�ebres. _2ram
650		7	_aOp�erateurs, th�eorie des. _2ram
655		4	_aElectronic books.
776	0	8	_iPrint version: _aMurphy, Gerard J. _tC*-algebras and operator theory _z0125113609 _w(DLC) 90000524 _w(OCoLC)21408122
856	4	0	_3ScienceDirect _uhttps://www.sciencedirect.com/science/book/9780080924960
999			_c9443 _d9443