Uniform Convergence in β-Duals.

STOCHASTIC convergence; DUALITY theory (Mathematics); VECTOR analysis; SEQUENCE spaces; MATHEMATICAL bounds; SET theory; MULTIPLIERS (Mathematical analysis)

Let E be a vector valued sequence space with β-dual EβY . We consider sufficient conditions on E for the series in a pointwise bounded subset of EβY to be uniformly convergent over certain subsets of E. The conditions involve gliding hump assumptions on the multiplier space E. Applications to matrix mappings between vector valued sequence spaces are given. [ABSTRACT FROM AUTHOR]

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