Perturbations of Banach algebras and amenability

Details Perturbations of Banach algebras and amenability Perturbations of Banach algebras and amenability

2010-12-07

arxiv.org/abs/1012.1390v1

Mathematics

Functional Analysis

6 pages

Scientific paper

In this paper we prove that if (A,\pi) is an amenable Banach algebra and if
\rho is another Banach algebra multiplication on A such that the difference
between \rho and and \pi is less than 1/11, then (A, \rho) is also amenable.

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