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A locally compact abelian topological groupG is constructed whose maximal torsion subgroup is finite but not a topological direct summand ofG.

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Acta Mathematica Hungarica
F. Ćunjalo
M. K. Khan
H. I. Miller
, and
J. A. Osikiewicz

Conditions are given on a nonnegative regular summability matrix A to ensure that for a given number α, 0 ≤ α ≤ 1, there exists a sequence x consisting of 0's and 1's such that Ax converges to α.

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