Additive Functionals on Groups
1962 ◽
Vol 58
(2)
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pp. 196-205
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Keyword(s):
The Real
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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?