%0 Journal Article
%T Banach Limits Revisited*
%A Diethard Pallaschke
%A Dieter Pumpl¨šn
%J Advances in Pure Mathematics
%P 1022-1036
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.613075
%X <p style=\"margin-left:10.0pt;\">
	<span style=\"font-family:&quot;\">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</span><span style=\"font-family:&quot;\">,</span><span style=\"font-family:&quot;\"> 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 </span><span style=\"font-family:&quot;\">a </span><span style=\"font-family:&quot;\">greater range.</span><span style=\"font-family:&quot;\"></span>
</p>
%K Order Unit Normed Spaces
%K Base Normed Spaces
%K Banach Limits
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=72955