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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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This paper deals with a study of a class of functions called ‘bibasis analytic functions’. Using discrete powerz (n)?, discrete bibasic hypergeometric functions have been introduced.

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I this paper we establish a Riesz representation type theorem which characterizes the dual of the space C rc (X,E)endowed with the countable-ope topologyi the case of E ot ecessarilya locallyconvex TVS.

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Acta Mathematica Hungarica
Authors:
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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