Abstract
In this paper, we obtain new characterizations of weakly unconditionally Cauchy series and unconditionally convergent series through the summability obtained by the Banach-Lorentz convergence. We study new spaces associated to a series in a Banach space and obtain a new version of the Orlicz-Pettis theorem by means of the almost summability.
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Schedule a callMore From: Bulletin of the Belgian Mathematical Society - Simon Stevin
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