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PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS

2009-01-01
Dosi, Anar
In this note we prove that if either 21 is a Banach-Jordan algebra or a Banach-Lie algebra then all perturbations of the multiplication in 21 give algebras topologically isomorphic with 21 whenever certain small-dimension cohomology groups associated with 21 are vanishing.