Hahn Decomposition Theorem of Signed Lattice Measure
Classical Analysis and ODEs
2009-06-02 v1
Abstract
In this paper, we will define a signed Lattice measure on -algebras, as well as give the definition of positive and negative Lattice. Herein, we will show that the Hahn Decomposition Theorem decomposes any space X into a positive lattice A and a negative Lattice B such that =X and the signed Lattice measure of is 0.
Cite
@article{arxiv.0906.0147,
title = {Hahn Decomposition Theorem of Signed Lattice Measure},
author = {Jun Tanaka},
journal= {arXiv preprint arXiv:0906.0147},
year = {2009}
}