References
J. Arias de Reyna, A real-valued homomorphism on algebras of differentiable functions. Proc. Amer. Math. Soc.104, 1054–1058 (1988).
R. Bonic andJ. Frampton, Smooth functions on Banach manifolds. J. Math. and Mech.15, 877–898 (1966).
P. Enflo, Banach spaces which can be given an equivalent uniformly convex norm. Israel J. Math.13, 281–288 (1972).
R.Engelking, General Topology. Monograf. Mat., Warsaw 1977.
L.Gillman and M.Jerison, Rings of continuous functions. Princeton, New Jersey 1960.
J. Gómez andJ. G. Llavona, Multiplicative functionals on function algebras. Rev. Mat. Univ. Complutense Madrid1, 19–22 (1988).
J. A. Jaramillo, Algebras de funciones continuas y diferenciables. Homomorfismos e interpolación. Thesis. Univ. Complutense. Madrid 1987.
J. A. Jaramillo, Topologies and homomorphisms on algebras of differentiable functions. Math. Japonica35, 343–349 (1990).
K. John, H. Torunczyk andV. Zizler, Uniformly smooth partitions of unity on superreflexive Banach spaces. Studia Math.70, 129–137 (1981).
E. A.Michael, Locally multiplicatively-convex topological algebras. Mem. Amer. Math. Soc.11 (1952).
K.Sundaresan and S.Swaminathan, Geometry and nonlinear analysis in Banach spaces. LNM1131, Berlin-Heidelberg-New York 1985.
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Research supported in part by D.G.I.C.Y.T Project PB-87-1031, Spain.
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Jaramillo, J.A. Multiplicative functionals on algebras of differentiable functions. Arch. Math 58, 384–387 (1992). https://doi.org/10.1007/BF01189929
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DOI: https://doi.org/10.1007/BF01189929