Displaying similar documents to “Raising bounded groups and splitting of radical extensions of commutative Banach algebras”

Fréchet algebras and formal power series

Graham Allan (1996)

Studia Mathematica

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The class of elements of locally finite closed descent in a commutative Fréchet algebra is introduced. Using this notion, those commutative Fréchet algebras in which the algebra ℂ[[X]] may be embedded are completely characterized, and some applications to the theory of automatic continuity are given.

A note on topologically nilpotent Banach algebras

P. Dixon, V. Müller (1992)

Studia Mathematica

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A Banach algebra A is said to be topologically nilpotent if s u p x . . . . . . x n 1 / n : x i A , x i 1 ( 1 i n ) tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]