Let ¥á be an approximately inner flow on a C.-algebra A with generator ¥ä and let ¥än denote the bounded generators of the approximating flows ¥á(n).We analyze the structure of the set D = {x ¡ô D(¥ä) : lim n¡æ¡Ä ¥än(x) = ¥ä(x)} of pointwise convergence of the generators. In particular we examine the relationship of D and various cores related to spectral subspaces.
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