About: Differentiable vector-valued functions from Euclidean space

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Differentiable function in functional analysis

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  • differentiable function in functional analysis (en)
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  • Let be a positive integer and let be an open subset of Given for any let be defined by and let be defined by Then is a surjective isomorphism of TVSs. Furthermore, its restriction is an isomorphism of TVSs . (en)
  • If is a complete Hausdorff locally convex space, then is canonically isomorphic to the injective tensor product (en)
  • Let be a Hausdorff locally convex topological vector space and for every continuous linear form and every let be defined by Then is a continuous linear map; and furthermore, its restriction is also continuous . (en)
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  • Theorem (en)
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  • Differentiable vector-valued functions from Euclidean space (en)
  • Differentiable vector–valued functions from Euclidean space (en)
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