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Approximative compactness and continuity of metric projections: Corrigendum
Published online by Cambridge University Press: 17 April 2009
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There is a small error in the proof of Lemma 1 [1], namely, that there may not be a subsequence of the sequence {Φn} converging to Φ in the weak*-topology. Thus equation (5) should read: In view of continuity of Pk we have
The same error occurs in the proof of Theorem 1 and Lemma 2 also. Therefore, equation (7) should read
and this leads to lim . Similarly, equation (8) should read
which implies that Ψn (x) → ‖x‖. Then there is no need of taking a subsequence.
All the same the results are not affected by the above error.
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- Copyright © Australian Mathematical Society 1975
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