Korovkin-type approximation on C∗-algebras
✍ Scribed by B.V Limaye; M.N.N Namboodiri
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 426 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
In this paper, we present a generalization of the classical Korovkin theorem on positive linear operators. We deduce some convergence results for linear operators defined on C k [0, 1], that preserve some cones of functions related to shape properties. Finally, we show some examples.
Let A be a separable exact quasidiagonal C\*-algebra. Suppose that ?: A Ä L(H) is a faithful representation whose image does not contain nonzero compact operators. Then there exists a sequence . n : A Ä L(H) of completely positive contractions such that &?(a)&. n (a)& Ä 0 for all a # A, and the C\*-