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Hypocontinuous bilinear map information


In mathematics, a hypocontinuous is a condition on bilinear maps of topological vector spaces that is weaker than continuity but stronger than separate continuity. Many important bilinear maps that are not continuous are, in fact, hypocontinuous.

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Bilinear map

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additional property: hypocontinuity. All continuous bilinear maps are hypocontinuous. Many bilinear maps that occur in practice are separately continuous...

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Hypocontinuous bilinear map

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In mathematics, a hypocontinuous is a condition on bilinear maps of topological vector spaces that is weaker than continuity but stronger than separate...

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Spaces of test functions and distributions

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differentiation map C c ∞ ( U ) → C c ∞ ( U ) {\displaystyle C_{c}^{\infty }(U)\to C_{c}^{\infty }(U)} is a surjective continuous linear operator. The bilinear multiplication...

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Barrelled space

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separately continuous bilinear map from a product of barrelled spaces into a locally convex space is hypocontinuous. A linear map with a closed graph from...

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