Geodesic
Goursat's Lemma in the Context of Banach Algebras
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 61-75.

Voir la notice de l'article provenant de la source Math-Net.Ru

The classical Goursat lemma is extended to classes of differentiable mappings of domains of real Banach spaces to algebras of linear operators acting on these spaces. We clarify the modification of the form and content of this lemma in dependence on the choice of the original object. The case in which the original space is a Banach algebra and Fréchet derivatives are operators of multiplication by elements of this algebra is considered separately.
Mots-clés : Goursat lemma
Keywords: Banach space, Banach algebra, Fréchet derivative. 
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E. A. Gorin. Goursat's Lemma in the Context of Banach Algebras. Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 61-75. http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a4/

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