Operator Algebras and Their Modules: An Operator Space Approach

Description

   
This invaluable reference is the first to present the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles the basic concepts, theory and methodologies needed to equip a beginning researcher in this area. A major trend in modern mathematics, inspired largely by physics, is toward `noncommutative' or `quantized' phenomena. In functional analysis, this has appeared notably under the name of `operator spaces', which is a variant of Banach spaces which is particularly appropriate for solving problems concerning spaces or algebras of operators on Hilbert space arising in 'noncommutative mathematics'. The category of operator spaces includes operator algebras, selfadjoint (that is, C*-algebras) or otherwise. Also, most of the important modules over operator algebras are operator spaces. A common treatment of the subjects of C*-algebras, nonselfadjoint operator algebras, and modules over such algebras (such as Hilbert C*-modules), together under the umbrella of operator space theory, is the main topic of the book. A general theory of operator algebras, and their modules, naturally develops out of the operator space methodology. Indeed, operator space theory is a sensitive enough medium to reflect accurately many important noncommutative phenomena. Using recent advances in the field, the book shows how the underlying operator space structure captures, very precisely, the profound relations between the algebraic and the functional analytic structures involved. The rich interplay between spectral theory, operator theory, C*-algebra and von Neumann algebra techniques, and the influx of important ideas from related disciplines, such as pure algebra, Banach space theory, Banach algebras, and abstract function theory is highlighted. Each chapter ends with a lengthy section of notes containing a wealth of additional information.



    MIRROR : IceFile.net

    thanks


    Thank You!

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Operator Algebras and Their Modules: An Operator Space Approach" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 597
2. Operator Algebras and Their Modules: An Operator Space Approach
3. Recent Advances in Operator Theory, Operator Algebras, and their Applications
4. Commutative Algebras of Toeplitz Operators on the Bergman Space (Operator Theory: Advances and Applications)
5. Classification of Nuclear C*-Algebras. Entropy in Operator Algebras (Encyclopaedia of Mathematical Sciences)
6. Operator Algebras and Quantum Statistical Mechanics 1: C*- and W*-Algebras. (Repost)
7. K-Theory for Operator Algebras
8. Jordan Operator Algebras
9. Real Operator Algebras
10. Introduction to Operator Algebras
11. K-Theory for Operator Algebras
12. Numerical Analysis for Integral and Related Operator Equations: OT 52 (Operator Theory: Advances and Applications)
13. Hilbert C*-Modules : A Toolkit for Operator Algebraists
14. Operator Algebras and Quantum Statistical Mechanics: vol. 1
15. Operator Algebras and Quantum Statistical Mechanics: vol. 2
16. Operator Algebras: The Abel Symposium 2004