000			02484nam a22002897a 4500
999			_c50911 _d50911
005			20190712105750.0
008			190501b ||||| |||| 00| 0 eng d
020			_a9780387901763
028			_a:Brijwasi Book Distributors _b:H-87, Lalita Park laxmi Nagar Delhi 110092 _c:BW/005428 _d:22/04/19
082			_a512.55 ARV
100			_a Arveson, William
245			_aAn invitation to C*-algebras _c/ William Arveson
260			_aNew York _b : Springer-Verlag, _c©1976
300			_ax, 106 pages _b: illustrations _c; 24 cm.
365			_b5057
490			_aGraduate texts in mathematics, 39.
505			_a1. Fundamentals -- 1.1. Operators and C*-algebras -- 1.2. Two density theorems -- 1.3. Ideals, quotients, and representations -- 1.4. C*-algebras of compact operators -- 1.5. CCR and GCR algebras -- 1.6. States and the GNS construction -- 1.7. The existence of representations -- 1.8. Order and approximate units -- 2. Multiplicity Theory -- 2.1. From type I to multiplicity-free -- 2.2. Commutative C*-algebras and normal operators -- 2.3. An application: type I von Neumann algebras -- 2.4. GCR algebras are type I -- 3. Borel Structures -- 3.1. Polish spaces -- 3.2. Borel sets and analytic sets -- 3.3. Borel spaces -- 3.4. Cross sections -- 4. From Commutative Algebras to GCR Algebras -- 4.1. The spectrum of a C*-algebra -- 4.2. Decomposable operator algebras -- 4.3. Representations of GCR algebras.
520			_aThis book is an introduction to C*-algebras and their representations on Hilbert spaces. The presentation is as simple and concrete as possible; the book is written for a second-year graduate student who is familiar with the basic results of functional analysis, measure theory and Hilbert spaces. The author does not aim for great generality, but confines himself to the best-known and also to the most important parts of the theory and the applications. Because of the manner in which it is written, the book should be of special interest to physicists for whom it opens an important area of modern mathematics. In particular, chapter 1 can be used as a bare-bones introduction to C^*-algebras where sections 2.1 and 2.3 contain the basic structure thoery for Type 1 von Neumann algebras.
650			_aMathematics
650			_aAlgebra
650			_aC*-algèbres.
650			_aHilbert space.
650			_aRepresentatie (wiskunde)
650			_aC-Stern-Algebra
700			_aArveson, William
942			_cBOOK