Characterizing $\textrm {hol}(\Omega )$
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- by Ronn Carpenter PDF
- Proc. Amer. Math. Soc. 53 (1975), 57-59 Request permission
Abstract:
We find necessary and sufficient conditions for an algebra of complex valued functions defined on a $\sigma$-compact ${T_2}$ space to be algebraically and topologically equivalent to the algebra of analytic functions on a finitely connected domain in ${\text {C}}$.References
- Andrew Browder, Introduction to function algebras, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0246125
- R. L. Carpenter, Continuity of derivations in $F$-algebras, Amer. J. Math. 93 (1971), 500–502. MR 287316, DOI 10.2307/2373390
- Lawrence Zalcmann, Analytic capacity and rational approximation, Lecture Notes in Mathematics, No. 50, Springer-Verlag, Berlin-New York, 1968. MR 0227434, DOI 10.1007/BFb0070657
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 57-59
- MSC: Primary 46J15; Secondary 30A98
- DOI: https://doi.org/10.1090/S0002-9939-1975-0380424-7
- MathSciNet review: 0380424