On Orthogonal Decomposition of a Hilbert Space
Functional Analysis
2015-03-05 v1
Abstract
In this short article we show an orthogonal decomposition of a Hilbert space as a sum of null solutions of the first derivative and the first derivative of a traceless higher order Hilbert/Sobolev space. We define orthogonal projections and see some of its properties and show case some decomposition of elementary functions as corollaries.
Cite
@article{arxiv.1503.01209,
title = {On Orthogonal Decomposition of a Hilbert Space},
author = {Dejenie A. Lakew},
journal= {arXiv preprint arXiv:1503.01209},
year = {2015}
}