Year: 2026
Type: preprint
Abstract: Let $\mathfrak{J}$ be a JB$^*$-algebra with no quotients isomorphic to any spin factor. Let $μ$ be a local quasi-linear Jordan functional on $\mathfrak{J}_{sa}$. We show that $μ$ is a linear functional on $\mathfrak{J}_{sa}$ if and only if the restriction of $μ$ to the closed unit ball of $\mathfrak{J}_{sa}$ is uniformly weakly continuous.
Source: arXiv (Cornell University)
Author: Escolano, Gerardo M.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160620670