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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


Qualitative Korovkin-Type Results on Con
✍ F.J. Muñoz-Delgado; V. Ramı́rez-González; D. Cárdenas-Morales 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 299 KB

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.

On the Approximation of Quasidiagonal C*
✍ Marius Dadarlat 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 118 KB

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\*-