Norm limits of (M,N,lambda_n)-complementable operators remain complementable when lambda_n times the D-block error tends to zero, and complementable operators with infinite-dimensional range blocks are strong-operator boundary points of the non-complementable set.
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Convergence of Complementable Operators
Norm limits of (M,N,lambda_n)-complementable operators remain complementable when lambda_n times the D-block error tends to zero, and complementable operators with infinite-dimensional range blocks are strong-operator boundary points of the non-complementable set.