Discontinuous homomorphisms from 𝐶(𝑋)

Discontinuous homomorphisms from $C\left ( X \right )$
HTML articles powered by AMS MathViewer

by H. G. Dales and J. Esterle PDF

Bull. Amer. Math. Soc. 83 (1977), 257-259

References

G. R. Allan, Embedding the algebra of formal power series in a Banach algebra, Proc. London Math. Soc. (3) 25 (1972), 329–340. MR 305071, DOI 10.1112/plms/s3-25.2.329
W. G. Bade and P. C. Curtis Jr., Homomorphisms of commutative Banach algebras, Amer. J. Math. 82 (1960), 589–608. MR 117577, DOI 10.2307/2372972
H. G. Dales, A discontinuous homomorphism from $C(X)$, Amer. J. Math. 101 (1979), no. 3, 647–734. MR 533196, DOI 10.2307/2373803
Jean Esterle, Semi-normes sur ${\cal C}(K)$, Proc. London Math. Soc. (3) 36 (1978), no. 1, 27–45 (French). MR 482215, DOI 10.1112/plms/s3-36.1.27
J. Esterle, Solution d’un problème d’Erdős, Gillman et Henriksen et application à l’étude des homomorphismes de ${\cal C}(K)$, Acta Math. Acad. Sci. Hungar. 30 (1977), no. 1-2, 113–127 (French). MR 482216, DOI 10.1007/BF01895655
B. E. Johnson, Norming $C(U)$ and related algebras, Trans. Amer. Math. Soc. 220 (1976), 37–58. MR 415326, DOI 10.1090/S0002-9947-1976-0415326-6
Allan M. Sinclair, Automatic continuity of linear operators, London Mathematical Society Lecture Note Series, No. 21, Cambridge University Press, Cambridge-New York-Melbourne, 1976. MR 0487371, DOI 10.1017/CBO9780511662355
Allan M. Sinclair, Bounded approximate identities, factorization, and a convolution algebra, J. Functional Analysis 29 (1978), no. 3, 308–318. MR 512247, DOI 10.1016/0022-1236(78)90033-2