A normed algebra
A normed algebra A whose radical is isomorphic to C.
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Suppose that A = {(
| ) ; a,b,c Î C }. Then A is a subalgebra of M2(C) @ B(C2) and the only its characters are f(( |
| )) = a and g(( |
| ))) = c, since
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is a basis for A. Therefore Rad(A) = {( |
| ) ; b Î C } is isometrically isomorphic to C.
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