Geodesic
Stable elements of Banach and Fréchet algebras
Studia Mathematica, Tome 129 (1998) no. 1, pp. 67-96 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     author = {Graham R. Allan},
     title = {Stable elements of {Banach} and {Fr\'echet} algebras},
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Graham R. Allan. Stable elements of Banach and Fréchet algebras. Studia Mathematica, Tome 129 (1998) no. 1, pp. 67-96. doi: 10.4064/sm-129-1-67-96

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