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In the mathematical field of functional analysis, DF-spaces, also written (DF)-spaces are locally convex topological vector space having a property that is shared by locally convex metrizable topological vector spaces. They play a considerable part in the theory of topological tensor products.
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space convex displaystyle every locally spaces df-spaces metrizable topological vector sequence bounded nuclear oclc strong dual complete isbn tensor grothendieck
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| DF-space | is a | Fréchet space.Every infinite-dimensional Montel DF-space is a sequential space but not a Fréchet | 0.90 | text |
| DF-space | is a | strong dual of some metrizable locally convex space | 0.90 | text |
| DF-space | is a | DF-space.The completion of a DF-space is a DF-space.The locally convex sum of a sequence of DF-spaces is a DF-space.An inductive limit of a sequence of DF-spaces is a DF-space.S… | 0.90 | text |
| DF-space | related to Definition | TVS | 0.60 | section |
| DF-space | related to Definition | DF | 0.60 | section |
| DF-space | related to Examples | There | 0.60 | section |
| DF-space | related to Examples | DF-spaces | 0.60 | section |
| DF-space | related to Examples | TVS-isomorphic | 0.60 | section |
| DF-space | related to Properties | Let | 0.60 | section |
| DF-space | related to Properties | Then | 0.60 | section |
| DF-space | related to Properties | Consequently | 0.60 | section |
| DF-space | related to Properties | The | 0.60 | section |
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