(Of a group) having members related by a commutative operation (i.e. a*b = b*a).
- In 1925 he proved the Krull-Schmidt theorem for decomposing abelian groups of operators.
- He does provide an example of the decomposition of an abelian group into cosets of a subgroup.
- In the same year he generalised von Neumann's spectral theorem to locally compact abelian groups.
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