Order topology (functional analysis)
id:
order-topology-functional-analysis-299-13533569
title:
Order topology (functional analysis)
text:
In mathematics, specifically in order theory and functional analysis, the order topology of an ordered vector space is the finest locally convex topological vector space (TVS) topology on X for which every order interval is bounded, where an order interval in X is a set of the form [ a , b ] := { z ∈ X : a ≤ z and z ≤ b } where a and b belong to X . The order topology is an important topology that is used frequently in the theory of ordered topological vector spaces because the topology stems
brand slug:
wiki
category slug:
encyclopedia
description:
Topology of an ordered vector space
original url:
https://en.wikipedia.org/wiki/Order_topology_(functional_analysis)
date created:
date modified:
2022-12-15T20:38:03Z
main entity:
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image:
fields total:
13
integrity:
14