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In mathematics, specifically in order theory and functional analysis, a sequence of positive elements in a preordered vector space (that is, for all ) is called order summable if exists in . For any , we say that a sequence of positive elements of is of type if there exists some and some sequence in such that for all . The notion of order summable sequences is related to the completeness of the order topology.

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  • In mathematics, specifically in order theory and functional analysis, a sequence of positive elements in a preordered vector space (that is, for all ) is called order summable if exists in . For any , we say that a sequence of positive elements of is of type if there exists some and some sequence in such that for all . The notion of order summable sequences is related to the completeness of the order topology. (en)
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  • In mathematics, specifically in order theory and functional analysis, a sequence of positive elements in a preordered vector space (that is, for all ) is called order summable if exists in . For any , we say that a sequence of positive elements of is of type if there exists some and some sequence in such that for all . The notion of order summable sequences is related to the completeness of the order topology. (en)
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  • Order summable (en)
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