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C*-algebras and operator theory /
This 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 p...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press,
�1990.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn893872840 | ||
| 003 | OCoLC | ||
| 005 | 20231120111837.0 | ||
| 006 | m o d | ||
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| 008 | 141027s1990 mau ob 001 0 eng d | ||
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| 019 | |a 893875000 |a 898771737 |a 935246831 |a 1162033946 | ||
| 020 | |a 9780080924960 |q (electronic bk.) | ||
| 020 | |a 0080924964 |q (electronic bk.) | ||
| 020 | |a 1493301640 | ||
| 020 | |a 9781493301645 | ||
| 020 | |z 0125113609 | ||
| 020 | |z 9780125113601 | ||
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| 100 | 1 | |a Murphy, Gerard J. | |
| 245 | 1 | 0 | |a C*-algebras and operator theory / |c Gerard J. Murphy. |
| 264 | 1 | |a Boston : |b Academic Press, |c �1990. | |
| 300 | |a 1 online resource (x, 286 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (page 279.280) and index. | ||
| 520 | |a This 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 | |a Print version record. | |
| 505 | 0 | |a Front 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 | |a 3.2. 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 | |a 5.6. 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 | |a English. | ||
| 650 | 0 | |a C*-algebras. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 6 | |a C*-alg�ebres. |0 (CaQQLa)201-0000003 | |
| 650 | 6 | |a Th�eorie des op�erateurs. |0 (CaQQLa)201-0014171 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a C*-algebras. |2 fast |0 (OCoLC)fst00843285 | |
| 650 | 7 | |a Operator theory. |2 fast |0 (OCoLC)fst01046419 | |
| 650 | 7 | |a C-Stern-Algebra |2 gnd |0 (DE-588)4136693-1 | |
| 650 | 7 | |a Operatortheorie |2 gnd |0 (DE-588)4075665-8 | |
| 650 | 7 | |a C |x alg�ebres. |2 ram | |
| 650 | 7 | |a Op�erateurs, th�eorie des. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Murphy, Gerard J. |t C*-algebras and operator theory |z 0125113609 |w (DLC) 90000524 |w (OCoLC)21408122 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080924960 |z Texto completo |