Year: 2023
Type: preprint
Abstract: We enquire under which conditions, given two $σ$-finite, $ω$-continuous valuations $ν$ and $μ$, $ν$ has density with respect to $μ$. The answer is that $ν$ has to be absolutely continuous with respect to $μ$, plus a certain Hahn decomposition property, which happens to be always true for measures.
Source: arXiv (Cornell University)
Author: Goubault-Larrecq, Jean
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4383469257