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On the permanent radical in topological algebras. (Sur le radical permanent dans les algèbres topologiques.) (French. English summary) Zbl 1166.46310

Summary: Let \(A\) be a topological algebra. W.Żelazko [Stud.Math.75, No.3, 265–272 (1983; Zbl 0529.46040)] asked whether the permanent radical of \(A\) in the class of all topological algebras is equal to the ideal \(I_s (A)\) consisting of all elements of \(A\) possessing small powers. Our aim in this paper is to show that this is always true.

MSC:

46H05 General theory of topological algebras

Citations:

Zbl 0529.46040
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References:

[1] W. ŻELAZKO, On permanent radical in commutative locally convex algebras, Studia Math., 75 (1983), pp. 265-272. Zbl0529.46040 MR722251 · Zbl 0529.46040
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