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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additional property: hypocontinuity. All continuous bilinearmaps are hypocontinuous. Many bilinearmaps that occur in practice are separately continuous...
In mathematics, a hypocontinuous is a condition on bilinearmaps of topological vector spaces that is weaker than continuity but stronger than separate...
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...
separately continuous bilinearmap from a product of barrelled spaces into a locally convex space is hypocontinuous. A linear map with a closed graph from...