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.
@article{bwmeta1.element.bwnjournal-article-smv119i3p271bwm,
author = {Graham Allan},
title = {Fr\'echet algebras and formal power series},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {271-288},
zbl = {0858.46041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv119i3p271bwm}
}
Allan, Graham. Fréchet algebras and formal power series. Studia Mathematica, Tome 119 (1996) pp. 271-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv119i3p271bwm/
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