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.
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[2]
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[10]
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[11]
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