Rings of continuous functions on open convex subsets of

Author:
Lyle E. Pursell

Journal:
Proc. Amer. Math. Soc. **19** (1968), 581-585

MSC:
Primary 46.25

MathSciNet review:
0229007

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References | Similar Articles | Additional Information

**[1]**I. Gelfand and A. Kolmogoroff,*On rings of continuous functions on topological spaces*, C. R. (Doklady) Acad. Sci. URSS**22**(1939), 11-15.**[2]**Leonard Gillman and Meyer Jerison,*Rings of continuous functions*, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR**0116199****[3]**Sigurđur Helgason,*Differential geometry and symmetric spaces*, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR**0145455****[4]**Edwin Hewitt,*Rings of real-valued continuous functions. I*, Trans. Amer. Math. Soc.**64**(1948), 45–99. MR**0026239**, 10.1090/S0002-9947-1948-0026239-9**[5]**Lyle E. Pursell,*An algebraic characterization of fixed ideals in certain function rings*, Pacific J. Math.**5**(1955), 963–969. MR**0083478****[6]**Lyle E. Pursell,*Uniform approximation of real continuous functions on the real line by infinitely differentiable functions*, Math. Mag.**40**(1967), 263–265. MR**0223507****[7]**Hassler Whitney,*Differentiability of the remainder term in Taylor’s formula*, Duke Math. J.**10**(1943), 153–158. MR**0007782****[8]**Solution to problem E1789, Amer. Math. Monthly**73**(1966), 779-780.

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DOI:
https://doi.org/10.1090/S0002-9939-1968-0229007-6

Article copyright:
© Copyright 1968
American Mathematical Society