Keywords

#quasi-complete_space

Quasi-complete space

A topological vector space in which every closed and bounded subset is complete

In functional analysis, a topological vector space (TVS) is said to be quasi-complete or boundedly complete if every closed and bounded subset is complete. This concept is of considerable importance for non-metrizable TVSs.

Wed 2nd

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Quasi-complete space Sequentially complete Complete topological vector space Banach space Compact space Quasinorm Reflexive space Metric space Countably quasi-barrelled space Infrabarrelled space
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