Geodesic
General construction of Banach-Grassmann algebras
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 3, pp. 223-231.

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We show that a free graded commutative Banach algebra over a (purely odd) Banach space \( E \) is a Banach-Grassmann algebra in the sense of Jadczyk and Pilch if and only if \( E \) is infinite-dimensional. Thus, a large amount of new examples of separable Banach-Grassmann algebras arise in addition to the only one example previously known due to A. Rogers.
Si mostra che un'algebra di Banach libera graduato-commutativa su uno spazio di Banach \( E \) puramente dispari è un'algebra di BanachGrassmann nel senso di Jadczyk e Pilch se e solo se \( E \) ha dimensione infinita. É quindi possibile ottenere un gran numero di nuovi esempi di algebre di Banach-Grassmann separabili, in aggiunta all'unico esempio precedentemente noto, dovuto ad A. Rogers. 
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Pestov, Vladimir G. General construction of Banach-Grassmann algebras. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 3 (1992) no. 3, pp. 223-231. http://geodesic.mathdoc.fr/item/RLIN_1992_9_3_3_a7/

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