A characterization of C(K) among function algebras on a Riemann surface
Boos, Lynette J.
Illinois J. Math., Tome 52 (2008) no. 1, p. 867-885 / Harvested from Project Euclid
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For a compact subset K of a Riemann surface, necessary and sufficient conditions are given for a function algebra containing A(K) to be all of C(K). Using these results, several conditions are given on a complex-valued function f so that the algebra generated by A(K) and f is all of C(K). In particular, the results are applied to a harmonic function f to give sufficient conditions for the algebra generated by A(K) and f to be all of C(K). Also, sufficient conditions are given for the algebra A(K) to be a maximal subalgebra of C(K).
Publié le : 2008-05-15
Classification:  46J10,  32A38,  30F15 
@article{1254403719,
     author = {Boos, Lynette J.},
     title = {A characterization of C(K) among function algebras on a Riemann surface},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 867-885},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1254403719}
}

Boos, Lynette J. A characterization of C(K) among function algebras on a Riemann surface. Illinois J. Math., Tome 52 (2008) no. 1, pp.  867-885. http://gdmltest.u-ga.fr/item/1254403719/