Year: 2024
Type: preprint
Abstract: Let $ν$ be a vector measure defined on a $σ$-algebra $Σ$ and taking values in a Banach space. We prove that if $ν$ is homogeneous and $L_1(ν)$ is non-separable, then there is a vector measure $\tildeν:Σ\to c_0(κ)$ such that $L_1(ν)=L_1(\tildeν)$ with equal norms, where $κ$ is the density character of $L_1(ν)$. This is a non-separable version of a result of [G.P. Curbera, Pacific J. Math. 162 (1994), no. 2, 287--303].
Source: arXiv (Cornell University)
Author: Rodríguez, José
Institution: University of Castilla-La Mancha
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394644047