A generalization of the Rudin-Carleson theorem
HTML articles powered by AMS MathViewer
- by Per Hag PDF
- Proc. Amer. Math. Soc. 43 (1974), 341-344 Request permission
Erratum: Proc. Amer. Math. Soc. 60 (1976), 377.
Abstract:
The purpose of this paper is to prove a common generalization of a theorem due to T. W. Gamelin [3] and a theorem due to Z. Semadeni [5]. Both these results are generalizations of E. Bishop’s abstract version of the well-known RudinCarleson theorem [2].References
- E. M. Alfsen and B. Hirsberg, On dominated extensions in linear subspaces of ${\mathcal {C}_C}(X)$, Preprint Series, Institute of Mathematics, Univ. of Oslo, 1970.
- Errett Bishop, A general Rudin-Carleson theorem, Proc. Amer. Math. Soc. 13 (1962), 140–143. MR 133462, DOI 10.1090/S0002-9939-1962-0133462-4
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0410387 P. Hag, Restrictions of convex subsets of $C(X)$, Ph.D. dissertation, University of Michigan, Ann Arbor, Mich., 1972. Z. Semadeni, Simultaneous extensions and projections in spaces of continuous functions, Lecture Notes, University of Aarhus, 1965.
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 341-344
- MSC: Primary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0338755-1
- MathSciNet review: 0338755