Abstract:In [1], Proposition 5 has an error. The proposition purports to show that S N , the normalizing semigroup for the nest algebra N , is closed in the strong operator topology. The proof begins with the net T λ in S N converging strongly to T ∈ B(H). It then proceeds to (correctly) establish the first of the two criteria set forth in Theorem 2 needed to conclude that T ∈ S N . The last sentence of the proof then asserts that the second criterion can be established in a similar manner by just replacing all the ope… Show more
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