Order theory | Functional analysis

Archimedean ordered vector space

In mathematics, specifically in order theory, a binary relation on a vector space over the real or complex numbers is called Archimedean if for all whenever there exists some such that for all positive integers then necessarily An Archimedean (pre)ordered vector space is a (pre)ordered vector space whose order is Archimedean. A preordered vector space is called almost Archimedean if for all whenever there exists a such that for all positive integers then (Wikipedia).

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From playlist Vector Spaces

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From playlist CTNT 2018 - "Function Field Arithmetic" by Christelle Vincent

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Related pages

Order theory | Binary relation | Order complete | Order unit | Minkowski functional | Complex number | Vector space | Ordered vector space | Real number | Euclidean space | Lexicographic order