Vector-valued almost convergence and classical properties in normed spaces

作者：Aizpuru A; Armario R; Garcia Pacheco F J; Perez Fernandez F J

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2014, 124(1): 93-108.

DOI：10.1007/s12044-013-0160-5

• Almost-convergence
• almost-summability
• completeness

In this paper we study the almost convergence and the almost summability in normed spaces. Among other things, spaces of sequences defined by the almost convergence and the almost summability are proved to be complete if the basis normed space is so Finally, some classical properties such as completeness, reflexivity, Schur property, Grothendieck property, and the property of containing a copy of c(0) are characterized in terms of the almost convergence.

• 出版日期2014-2