Geodesic
Operators determining the complete norm topology of C(K)
Studia Mathematica, Tome 124 (1997) no. 2, pp. 155-160 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For any uniformly closed subalgebra A of C(K) for a compact Hausdorff space K without isolated points and $x_{0} ∈ A$, we show that every complete norm on A which makes continuous the multiplication by $x_{0}$ is equivalent to $∥·∥_{∞}$ provided that $x_{0}^{-1}(λ)$ has no interior points whenever λ lies in ℂ. Actually, these assertions are equivalent if A = C(K). 
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     title = {Operators determining the complete norm topology of {C(K)}},
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A. R. Villena. Operators determining the complete norm topology of C(K). Studia Mathematica, Tome 124 (1997) no. 2, pp. 155-160. doi: 10.4064/sm-124-2-155-160

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