Armario, R., Garcia-Pacheco, F.J. and Pérez-Fernández, F.J. (2013) On Vector-Valued Banach Limits. Functional Analysis and Its Applications, 47, 82-86. (In Russian) (Transl. (2013) Functional Analysis and Its Applications, 47, 315-318.)

has been cited by the following article:

• TITLE: Banach Limits Revisited

  AUTHORS: Diethard Pallaschke, Dieter Pumplün

  KEYWORDS: Order Unit Normed Spaces, Base Normed Spaces, Banach Limits

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.13, December 23, 2016

  ABSTRACT: Order unit normed linear spaces are a special type of regularly ordered normed linear spaces and therefore the first section is a short collection of the fundamental results on this type of normed linear spaces. The connection between order unit normed linear spaces and base normed linear spaces within the category of regularly ordered normed linear spaces is described in Section 2, and Section 3 at last, contains the results on Banach limits in an arbitrary order unit normed linear space. It is shown that the original results on Banach limits are valid for a greater range.