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Small isomorphisms between group algebras

Published online by Cambridge University Press:  18 May 2009

G. V. Wood
G. V. Wood
Affiliation:
Department of Mathematics and Computer Science, University College of Swansea, Swansea SA2 8PP, Wales
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 1 , January 1991 , pp. 21 - 28
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

REFERENCES

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