Geodesic
Isomorphisms of Function Algebras and Algebras of Analytic Functions
Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 61-71

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a finite open Riemann surface with analytic boundary Γ. Set and define is analytic on R}. Conditions are given on a function algebra A on a compact Hausdorff space X which imply that A is isomorphic to a subalgebra of A(R) of finite codimension.
DOI : 10.4153/CMB-1978-010-1
Mots-clés : 46J10, function algebra, Gleason part, f-regular 
Lund, Bruce. Isomorphisms of Function Algebras and Algebras of Analytic Functions. Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 61-71. doi: 10.4153/CMB-1978-010-1
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[1] 1. Ahlfors, L. and Sario, L., Riemann surfaces Princeton University Press, Princeton, N.J., 1960. Google Scholar

[2] 2. Arens, R., The closed maximal ideals of algebras of functions holomorphic on a Riemann surface, Rend. Cir. Mat. di Palermo (2) 7 (1958), 245-260. Google Scholar

[3] 3. Björk, J.-E., Analytic structures, Papers from the Summer Gathering on Functional Algebras at Aarhus July (1969), 19-28. Google Scholar

[4] 4. Björk, J.-E., On analytic structure in the maximal ideal space of a function algebra, Papers from the Summer Gathering on Function Algebras at Aarhus July (1969), 29-35. Google Scholar

[5] 5. Browder, A., Introduction to function algebras W. A. Benjamin, New York, 1969. Google Scholar

[6] 6. Duren, P. L., Theory of Hp spaces Academic Press, New York, 1970. Google Scholar

[7] 7. Gamelin, T. W., Embedding Riemann surfaces in maximal ideal spaces, J. Functional Analysis 2 (1968), 123-146. Google Scholar

[8] 8. Gamelin, T. W., Uniform algebras Prentice-Hall, Englewood Cliffs, N.J., 1969. Google Scholar

[9] 9. Gamelin, T. W., Polynomial approximation on thin sets, Symposium on Several Complex Variables Park City, Utah (1970), Lecture notes in mathematics 184, Springer Verlag, Berlin, 1971. Google Scholar

[10] 10. Gamelin, T. W. and Lumer, G., Abstract Hardy spaces and universal Hardy class, Advances in Math. 2 (1968), 118-174. Google Scholar

[11] 11. Kiski, K., Homeomorphism between the open unit disk and a Gleason part, J. Math. Soc. Japan 27 (1975), 467-473. Google Scholar

[12] 12. Lund, B., Subalgebras of finite codimension in the algebra on analytic functions on a Riemann surface, Pacific J. Math. 51 (1974), 495-497. Google Scholar

[13] 13. Lund, B., Analytic embeddings in logmodular algebras, Indiana Univ. Math. J. 24 (1975), 1093-1098. Google Scholar

[14] 14. Munkres, J. R., Topology Prentice-Hall, Englewood Cliffs, N.J., 1975. Google Scholar

[15] 15. Read, A., A converse of Cauchy's theorem and applications to extremal problems, Acta Math. 100 (1958), 1-22. Google Scholar

[16] 16. Stanton, C. M., The closed ideals of a function algebra, Trans, Amer. Math. Soc. 154 (1971), 289-300. Google Scholar

[17] 17. Stout, E. L., On some algebras of analytic functions on finite open Riemann surfaces, Math. Z. 92 (1966), 366-379. Google Scholar

[18] 18. Stout, E. L., The theory of uniform algebras Bogden and Quigley, Tarrytown-on-Hudson, N.Y., 1971. Google Scholar

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