Abstract
We consider several formulations of the equicontinuity of the sequence of power maps \({(x\longmapsto x^{n})_{n}}\) in the non-commutative case. We give some analog of a result of Turpin for a locally convex algebra not necessarily commutative. The link with the operation of entire functions is also examined.
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El Kinani, A., Choukri, R. & Oudades, A. On a Result of Turpin. Mediterr. J. Math. 13, 4211–4217 (2016). https://doi.org/10.1007/s00009-016-0740-6
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DOI: https://doi.org/10.1007/s00009-016-0740-6