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arXiv · 1102.4309

Natural Isomorphism from a Linear Map's Image to Complement of Nullspace

H. N. Friedel
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Abstract

There is a natural isomorphism from image to complement of nullspace, for a bounded linear map from a real Banach space onto a closed subspace of a real Hilbert space. This generalizes Riesz representation (self-duality of Hilbert space). The isomorphism helps solve the pressure equation of fluid dynamics.

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H. N. Friedel. 2011-02-21. Natural Isomorphism from a Linear Map's Image to Complement of Nullspace. https://arxiv.org/abs/1102.4309

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