Eg. Katsoulis et Sc. Power, COMPACT PERTURBATIONS OF CERTAIN CSL ALGEBRAS, Proceedings of the American Mathematical Society, 114(4), 1992, pp. 1041-1044
In this note we show that several CSL algebras, including Alg L(2(infi
nity), less-than-or-equal-to, m(p)), 0 < p < 1, have compact perturbat
ions that are norm closed.