An introduction to operator algebras. (2018)

• Record Type: Book
• Further Information: Note: Kehe Zhu.
• Other Names: Zhu, Kehe, 1961-
• Contents: I. Banach Algebras -- 1. Review on Functional Analysis -- 2. Banach Algebras and the Invertible Group -- 3. The Spectrum -- 4. Multiplicative Linear Functionals -- 5. The Gelfand Transform and Applications -- 6. Examples of Maximal Ideal Spaces -- 7. Non-Unital Banach Algebras -- II. C*-Algebras -- 8. C*-Algebras -- 9. Commutative C*-Algebras -- 10. The Spectral Theorem and Applications -- 11. Further Applications -- 12. Polar Decomposition -- 13. Positive Linear Functionals and States -- 14. The GNS Construction -- 15. Non-Unital C*-Algebras -- III. Von Neumann Algebras -- 16. Strong- and Weak-Operator Topologies -- 17. Existence of Projections -- 18. The Double Commutant Theorem -- 19. The Kaplansky Density Theorem -- 20. The Borel Functional Calculus -- 21. L[infinity] as a von Neumann Algebra -- 22. Abelian von Neumann Algebras -- 23. The L[infinity]-Functional Calculus -- 24. Equivalence of Projections -- 25. A Partial Ordering -- 26. Type Decomposition.
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2018
• Extent: 1 online resource (176 pages)
• Subjects: 512/.55; Operator algebras; Algèbres d'opérateurs; Operator algebras; Operatoralgebra
• Languages: English
• ISBNs: 9781351467025; 1351467026
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.