continuous dual spaceの例文

例文

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1. The article on dual spaces discusses the differences between the algebraic and the continuous dual spaces.
2. Further, for topological vector spaces, a continuous dual space can be defined, in which case a dual basis may exist.
3. To distinguish the ordinary dual space from the continuous dual space, the former is sometimes called the " algebraic dual ".
4. If we take " V * " to be the continuous dual space then it is the set of continuous linear functionals nonnegative on " C ".
5. It's mentioned on the page for dual spaces that if a vector space is topological, the continuous dual space is a linear subspace of the algebraic dual space.