Almost summability and unconditionally Cauchy series
Aizpuru, A. ; Armario, R. ; Pérez-Fernández, F.J.
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 635-644 / Harvested from Project Euclid
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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.
Publié le : 2008-05-15
Classification:  46B15,  40A05,  46B45 
@article{1225893944,
     author = {Aizpuru, A. and Armario, R. and P\'erez-Fern\'andez, F.J.},
     title = {Almost summability and unconditionally Cauchy series},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 635-644},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225893944}
}

Aizpuru, A.; Armario, R.; Pérez-Fernández, F.J. Almost summability and unconditionally Cauchy series. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  635-644. http://gdmltest.u-ga.fr/item/1225893944/