ISOMORPHIC TYPE OF A SPACE OF SMOOTH FUNCTIONS GENERATED BY A FINITE FAMILY OF DIFFERENTIAL OPERATORS

摘要

On the torus T~n with n ≥ 2, the space mentioned in the title is not isomorphic to a complemented subspace of C(K) if the finite family in question consists of homogeneous differential operators of the same order with constant coefficients and at least two among them are linearly independent.