On the extreme points of the interval between two operators
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Given that A, B are operators on a complex Hubert space, and that B - A is nonnegative, the interval between A and B consists of every operator, G, such that both B - G and G - A are nonnegative. The extreme points of such an interval are exhibited and the interval is shown to be the closure of the convex hull of these extreme points in the weak-operator topology. © 1977 American Mathematical Society.
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