Order summable
id:
order-summable-300-10313525
title:
Order summable
text:
In mathematics, specifically in order theory and functional analysis, a sequence of positive elements i = 1 ∞ in a preordered vector space X is called order summable if sup n = 1 , 2 , … ∑ i = 1 n x i exists in X . For any 1 ≤ p ≤ ∞ , we say that a sequence i = 1 ∞ of positive elements of X is of type ℓ p if there exists some z ∈ X and some sequence i = 1 ∞ in ℓ p such that 0 ≤ x i ≤ c i z for all i . The notion of order summable sequences is related to the completeness of the order topology.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Order_summable
date created:
date modified:
2022-11-02T23:12:22Z
main entity:
{"identifier":"Q96397668","url":"https://www.wikidata.org/entity/Q96397668"}
image:
fields total:
13
integrity:
13