In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space $X$ in terms of its orthogonal measures on $X$.
@article{118775, author = {Jan \v Cerych}, title = {On essential sets of function algebras in terms of their orthogonal measures}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {471-474}, zbl = {0836.46040}, mrnumber = {1364487}, language = {en}, url = {http://dml.mathdoc.fr/item/118775} }
Čerych, Jan. On essential sets of function algebras in terms of their orthogonal measures. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 471-474. http://gdmltest.u-ga.fr/item/118775/
Complex function algebras, Trans. Amer. Math. Soc. 90 (1959), 383-393. (1959) | MR 0107164 | Zbl 0086.31602
Maximal algebras of continuous functions, Acta Math. 103 (1960), 217-241. (1960) | MR 0117540 | Zbl 0195.13903