Английская Википедия:Fréchet lattice

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Шаблон:One source In mathematics, specifically in order theory and functional analysis, a Fréchet lattice is a topological vector lattice that is also a Fréchet space.Шаблон:Sfn Fréchet lattices are important in the theory of topological vector lattices.

Properties

Every Fréchet lattice is a locally convex vector lattice.Шаблон:Sfn The set of all weak order units of a separable Fréchet lattice is a dense subset of its positive cone.Шаблон:Sfn

Examples

Every Banach lattice is a Fréchet lattice.

See also

References

Шаблон:Reflist Шаблон:Reflist

Bibliography

Шаблон:Functional analysis Шаблон:Ordered topological vector spaces Шаблон:Order theory