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Additive Functionals on Groups*

Published online by Cambridge University Press:  24 October 2008

Allan Hayes
Allan Hayes
Affiliation:
Massachusetts Institute of Technology
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Extract

The kernel of a non-trivial linear functional φ on a linear space E is a maximal proper linear subspace of E which determines φ up to a non-zero multiple. Does a similar result hold for homomorphisms of a group G into the additive group R of the real numbers?

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 2 , April 1962 , pp. 196 - 205
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

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