Geodesic
A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function
Studia Mathematica, Tome 116 (1995) no. 3, pp. 295-297

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.
DOI : 10.4064/sm-116-3-295-297
Keywords: algebra of all continuous functions, normed commutative algebra, non-existence of norm, topological spaces admitting unbounded functions

Alexander R. Pruss 1

1 
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Alexander R. Pruss. A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function. Studia Mathematica, Tome 116 (1995) no. 3, pp. 295-297. doi: 10.4064/sm-116-3-295-297

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