%0 Journal Article %T Compact $AC(¦Ò)$ operators %A Brenden Ashton %A Ian Doust %J Mathematics %D 2008 %I arXiv %R 10.1007/s00020-009-1667-0 %X All compact $AC(\sigma)$ operators have a representation analogous to that for compact normal operators. As a partial converse we obtain conditions which allow one to construct a large number of such operators. Using the results in the paper, we answer a number of questions about the decomposition of a compact $AC(\sigma)$ into real and imaginary parts. %U http://arxiv.org/abs/0807.1052v1