An n×n matrix of linear functionals of C∗-algebras
We show that any bounded matrix of linear functionals [fij]:Mn(A)→Mn(ℂ) has a representation fij(a)=〈Tπ(a)xj,xi〉, a∈A, i,j=1,2,…,n, for some representation π on a Hilbert space K and an n vectors x1,x2,…,xn in K.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120200697X |
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