Quasi-complete space

In functional analysis, a topological vector space (TVS) is said to be quasi-complete or boundedly complete[1] if every closed and bounded subset is complete.

[2] This concept is of considerable importance for non-metrizable TVSs.

[2] Every complete TVS is quasi-complete.

[8] Every semi-reflexive space is quasi-complete.

[9] The quotient of a quasi-complete space by a closed vector subspace may fail to be quasi-complete.