Natural Isomorphism from a Linear Map's Image to Complement of Nullspace
Functional Analysis
2011-02-22 v1
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.
Keywords
Cite
@article{arxiv.1102.4309,
title = {Natural Isomorphism from a Linear Map's Image to Complement of Nullspace},
author = {H. N. Friedel},
journal= {arXiv preprint arXiv:1102.4309},
year = {2011}
}
Comments
4 pages