Order summable

From Wikipedia, the free encyclopedia

In mathematics, specifically in order theory and functional analysis, a sequence of positive elements in a preordered vector space (that is, for all ) is called order summable if exists in .[1] For any , we say that a sequence of positive elements of is of type if there exists some and some sequence in such that for all .[1]

The notion of order summable sequences is related to the completeness of the order topology.

See also

References

Bibliography

Loading related searches...

Wikiwand - on

Seamless Wikipedia browsing. On steroids.