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arXiv · 0906.0147

Hahn Decomposition Theorem of Signed Lattice Measure

Jun Tanaka
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Abstract

In this paper, we will define a signed Lattice measure on $σ$-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 $A \vee B$ =X and the signed Lattice measure of $A \wedge B $ is 0.

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Jun Tanaka. 2009-05-31. Hahn Decomposition Theorem of Signed Lattice Measure. https://arxiv.org/abs/0906.0147

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