Geodesic
Invertibility of elements in infinite-dimensional Grassmann–Banach algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 13-22 
V. D. Ivashchuk. Invertibility of elements in infinite-dimensional Grassmann–Banach algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 13-22. http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a1/
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     title = {Invertibility of~elements in~infinite-dimensional {Grassmann{\textendash}Banach} algebras},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that in an arbitrary infinite-dimensional Grassmann–Banach algebra over a complete normed field $K$ and belonging to the family considered in the author's earlier [1] an element $a$ is invertible if and only if $a(\varnothing)\ne0_K$. An expression is obtained for the inverse element.

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