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Reference.org
Normed vector lattice
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<p>In mathematics, specifically in <a href="/facts/Order_theory/gn6fM3oJ">order theory</a> and <a href="/facts/Functional_analysis/MIp233MT">functional analysis</a>, a normed lattice is a <a href="/facts/Topological_vector_lattice/q5BLo3cr">topological vector lattice</a> that is also a <a href="/facts/Normed_space/rmDljfyE">normed space</a> whose unit ball is a <a href="/facts/Solid_set/0TIYIsVI">solid set</a>. Normed lattices are important in the theory of <a href="/facts/Topological_vector_lattice/q5BLo3cr">topological vector lattices</a>. They are closely related to Banach vector lattices, which are normed vector lattices that are also <a href="/facts/Banach_space/sDEIk7EC">Banach spaces</a>. </p>