Proceedings of the American Mathematical Society

Author(s): A. R. Villena
Journal: Proc. Amer. Math. Soc. 129 (2001), 1057-1064.
MSC (2000): Primary 43A20, 46E25, 46J10, 46J15
Posted: November 8, 2000
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For an element

of a commutative complex Banach algebra $(A,\Vert\cdot\Vert)$ we investigate the following property: every complete norm $\vert\cdot\vert$ on

making the multiplication by

from $(A,\vert\cdot\vert)$ to itself continuous is equivalent to $\Vert\cdot\Vert$ .

1.: F. F. Bonsall and J. Duncan, Complete normed algebras, Springer-Verlag 1973. MR 54:11013
2.: H. G. Dales, Automatic continuity: a survey, Bull. London Math. Soc. 10 (1978), 129-183. MR 80c:46053
3.: H. G. Dales, Convolution algebras on the real line. In Radical Banach algebras and automatic continuity, Springer Lecture Notes in Math. 975, 180-209 (1983). MR 84c:46001
4.: C. E. Rickart, General theory of Banach algebras, Robert E. Krieger Publishing Co. 1974. MR 22:5903 (review of original 1960 edition)
5.: D. R. Sherbert, The structure of ideals and point derivations in Banach algebras of Lipschitz functions, Trans. Amer. Math. Soc. 111 (1964), 240-272. MR 28:4385
6.: A. M. Sinclair, Automatic continuity of linear operators, Cambridge University Press, 1976. MR 58:7011
7.: A. R. Villena, Operators determining the complete norm topology of , Studia Math. 124 (1997), 155-160. MR 98h:46026

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