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Douglas's localisation theory for Toeplitz operators is used to show that there exist certain Hankel operators with discontinuous symbols which do not lie in the C*-algebra generated by the Toeplitz operators. As a simple corollary we also see that these operators do not he in the closed linear span of the positive Hankel operators.doi:10.2307/2041994 fatcat:jonx6q65u5dwxbd4753zlth2uq