Abstract
We show that the inverse map $x\longmapsto x^{-1}$ is continuous in any unitary non commutative locally convex algebra in which the sequence of power maps $\left( x\longmapsto x^{n}\right) _{n}$ is equicontinuous at zero. As a consequence, we obtain that the inverse map is continuous in any unitary $B_{0}$-algebra not necessarily commutative in which entire functions operate.
Citation
A. El Kinani. R. Choukri. A. Oudades. "Inverse map and equicontinuity of power maps in locally convex algebras." Bull. Belg. Math. Soc. Simon Stevin 25 (3) 321 - 329, september 2018. https://doi.org/10.36045/bbms/1536631230
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