Stable inverse-limit sequences, with application to Predict algebras

Graham Allan

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Displaying similar documents to “Stable inverse-limit sequences, with application to Predict algebras”

Stable elements of Banach and Fréchet algebras

Graham Allan (1998)

Studia Mathematica

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We introduce an algebraic notion-stability-for an element of a commutative ring. It is shown that the stable elements of Banach algebras, and of Fréchet algebras, may be simply described. Part of the theory of power-series embeddings, given in [1] and [4], is seen to be of a purely algebraic nature. This approach leads to other natural questions.

Stable inverse-limit sequences and automatic continuity

Graham Allan (2000)

Studia Mathematica

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The elementary theory of stable inverse-limit sequences, introduced in stable inverse-limit sequences, is used to extend the 'stability lemma' of automatic continuity theory.

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.