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- W2027127160 abstract "If λ is a sequence K-space and Σ xj is a series in a topological vector space X, the series is said to be λ-multiplier convergent if the series converges in X for every t = {tj} ∈ λ. We show that if λ satisfies a gliding hump condition, called the signed strong gliding hump condition, then the series converge uniformly for t = {tj} belonging to bounded subsets of λ. A similar uniform convergence result is established for a multiplier convergent series version of the Hahn-Schur Theorem." @default.
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- W2027127160 date "2007-05-01" @default.
- W2027127160 modified "2023-10-16" @default.
- W2027127160 title "UNIFORM CONVERGENCE OF MULTIPLIER CONVERGENT SERIES" @default.
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- W2027127160 doi "https://doi.org/10.4067/s0716-09172007000100002" @default.
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