%0 Journal Article %T Compact endomorphisms of Banach algebras of infinitely differentiable functions %A J. F. Feinstein %A H. Kamowitz %J Mathematics %D 2002 %I arXiv %X We consider non-zero endomorphisms of the Dales and Davie algebras of infinitely differentiable functions on intervals in the real line. We discuss necessary and sufficient conditions for a selfmap of the interval to induce a compact endomorphism of these algebras. We also determine the spectra of these compact endomorphisms. %U http://arxiv.org/abs/math/0205020v2