2 problems

Let $(\alpha,\beta)$ be a pair of real numbers, and let $\epsilon>0$. Consider the system … A pair is called multiplicatively singular if, for every $\epsilon>0$, this system has a…

Let $\mathcal L\in\operatorname{\mathcal S\mathcal E}$, and let $X$ be a compact set in $\mathbb C$. The spaces $P_{\mathcal L}(X)$ and $C_{\mathcal L}(X)$ denote, respectively, th…