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

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

2011-02-21

arxiv.org/abs/1102.4309v1

Mathematics

Functional Analysis

4 pages

Scientific paper

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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