Abstract
In this note we show that, for an arbitrary Hausdorff locally m-convex topology on a subalgebra $A$ of the algebra $C(X)$, the boundedness radius $\beta$ is nothing but the uniform norm, whenever $A$ is a $C_b(X)$-module and closed under the complex conjugation. We then deduce a Theorem of Kaplansky-Meyer type for subalgebras.
Citation
L. Oubbi. "A Kaplansky-Meyer theorem for subalgebras." Bull. Belg. Math. Soc. Simon Stevin 16 (2) 305 - 312, May 2009. https://doi.org/10.36045/bbms/1244038141
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