A note on topologically nilpotent Banach algebras

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Authors ¹, ²

Department of Pure Mathematics, University of Sheffield, Sheffield, S3 7RH, England
Institute of Mathematics, Czechoslovak Academy of Sciences, Žitná 25, 115 67 Praha 1, Czechoslovakia

A Banach algebra A is said to be topologically nilpotent if

\supset {∥ x ₁ ... ... x_{n} ∥^{\frac{1}{n}} : x_{i} \in A, ∥ x_{i} ∥ \leq 1 (1 \leq i \leq n)}

tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]

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