Topological vector lattice
In mathematics, specifically in order theory and functional analysis, a Fréchet lattice is a topological vector lattice that is also a Fréchet space.
Fréchet lattices are important in the theory of topological vector lattices.
Properties
Every Fréchet lattice is a locally convex vector lattice.
The set of all weak order units of a separable Fréchet lattice is a dense subset of its positive cone.
Examples
Every Banach lattice is a Fréchet lattice.
See also
References
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