Mathematical analysis | Topology

Order unit

An order unit is an element of an ordered vector space which can be used to bound all elements from above. In this way (as seen in the first below) the order unit generalizes the unit element in the reals. According to H. H. Schaefer, "most of the ordered vector spaces occurring in analysis do not have order units." (Wikipedia).

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of the Order of an Element in a Group and Multiple Examples

From playlist Abstract Algebra

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Related pages

Vector space | Ordered vector space | Archimedean ordered vector space | Algebraic interior | Minkowski functional | Ordered topological vector space