Normed lattice

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In [[order theory]] and [[functional analysis]], a '''normed lattice''' is a [[topological vector lattice]] that is also a [[normed space]] space whose unit ball is a [[solid set]].
Normed lattices are important in the theory of [[topological vector lattice]]s.

== Properties ==

Every normed lattice is a [[locally convex vector lattice]].

== Examples ==

Every [[Banach lattice]] is a normed lattice.

== See also ==

* [[Banach lattice]]
* [[Fréchet lattice]]
* [[Locally convex vector lattice]]
* [[Vector lattice]]

== References ==


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[[Category:Functional analysis]]

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