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.
Citation
A. Aizpuru. R. Armario. F.J. Pérez-Fernández. "Almost summability and unconditionally Cauchy series." Bull. Belg. Math. Soc. Simon Stevin 15 (4) 635 - 644, November 2008. https://doi.org/10.36045/bbms/1225893944
Information
