Density-Dependent Operators on Density-Projection Condensation Spaces: Ambient Extensions, Zero-Density Defects, and Stability

Seonghyun Jeon

Let $X={\mathbb{R}}^n$ be equipped with Lebesgue measure $\hat{I}»$, and let $\mathcal{R}$ be the space of normalized nonnegative densities in $L^1(X,\hat{I}»)$. Each $\ddot{I}\in \mathcal{R}$ induces…