Theorem 8.3 . [01H8]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Theorem 8.3.

For any $u\in C^{0}(X)$ the $\theta$ -psh envelope $P_{\theta}(u)$ is a uniform limit on $X$ of $\theta$ -psh model functions. In particular, $P_{\theta}(u)$ is continuous.