Fréchet algebras and formal power series

Volume 119 / 1996

Graham R. Allan Studia Mathematica 119 (1996), 271-288 DOI: 10.4064/sm-119-3-271-288


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.


  • Graham R. Allan

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