Generalizations of the Stone-Weierstrass approximation theorem
Generalizations of the Stone-Weierstrass approximation theorem
The celebrated Stone-Weierstrass theorem for the continuous functions on compact Hausdorff spaces has been extended to those on more general spaces [1], [3], [4], [8].The purpose of the present note is to present some generalizations of the theorem and the Stone-Tietze extension theorem to the vector-valued continuous functions on com- …