2 problems

The remainder characterization conjecture. The sequence ${\mathbf A}$ is a $\mathrm{TP}_\infty$-preserver if and only if, for every $l\in\mathbb N\cup\{0\}$, $R_l[\mathbf A]$ is an…

Let $n\ge 2$. For $1 \le p \le \frac{2n}{n-1}$, consider the convolution operator … where $B_1$ is the unit ball in $\mathbb{R}^n$. Injectivity conjecture. The convolution operator…