Stable elements of Banach and Fréchet algebras
Tom 129 / 1998
Studia Mathematica 129 (1998), 67-96
DOI: 10.4064/sm-129-1-67-96
Streszczenie
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.
