References
H. G. Dales, Automatic continuity: a survey. Bull London Math. Soc.10, 129–183 (1978).
H. G. Dales andA. M. Davie, Quasi-analytic Banach function algebras. J. Funct. Anal.13, 28–50 (1973).
H. G. Dales andJ. P. McClure, Higher point derivations on commutative Banach algebras I. J. Funct. Anal.26, 166–189 (1977).
N. Heerema, Higher derivations and automorphisms of complete local rings. Bull. Amer. Math. Soc.76, 1212–1225 (1970).
S.Mandelbrojt, Séries adhérentes, régularisation des suites, applications. Paris 1952.
A. G. O'Farrell, Polynomial approximation of smooth functions. J. London Math. Soc. (2)28, 496–506, (1983).
S. I. Ouzomgi, Factorization and automatic continuity for an algebra of infinitely differentiable functions. J. London Math. Soc. (2)30, 265–280 (1984).
W.Rudin, Real and complex analysis. New York 1966.
C. Rumieu, Sur quelques extensions de la notion de distribution. Ann. Sci. Ecole Norm. Sup. (3)77, 41–121 (1960).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ouzomgi, S.I. Point derivations and ideals in Banach algebras of differentiable functions. Arch. Math 53, 171–177 (1989). https://doi.org/10.1007/BF01198568
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01198568