Ptak space
A locally convex topological vector space (TVS) formula_1 is "B"-complete or a Ptak space if every subspace formula_2 is closed in the weak-* topology on formula_3 (i.e. formula_4 or formula_5) whenever formula_6 is closed in formula_7 (when formula_7 is given the subspace topology from formula_4) for each equicontinuous subset formula_10.

"B"-completeness is related to formula_11-completeness, where a locally convex TVS formula_1 is formula_11-complete if every subspace formula_2 is closed in formula_4 whenever formula_6 is closed in formula_7 (when formula_7 is given the subspace topology from formula_4) for each equicontinuous subset formula_10.
Q1572357
locally convex
Concept
Q1455249
topological vector space
Concept
Q1572357
locally convex
Concept
Q96400395
Ptak space
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subclass of