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Small isomorphisms between group algebras
Published online by Cambridge University Press: 18 May 2009
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If G1 and G2 are locally compact groups and the algebras Ll(G1) and Ll(G2) are isometrically isomorphic, then G1 and G2 are isomorphic (Wendel, 1952, [8]). There is evidence that the following generalization of Wendel's result is true.
If T is an algebra isomorphism of L1(G1) onto L1(G2) with ∥T∥ < √2, then G1, and G2 are isomorphic.
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- Copyright © Glasgow Mathematical Journal Trust 1991
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