3 problems

Let $V$ be a locally convex FK space, where $\ell_\infty$ denotes the space of bounded real sequences and $\{0,1\}^\omega$ is the space of binary sequences with its product topolog…

Let $(l^{1},\tau^{1})$ be the usual $l^{1}$ space. For each $p>1$, let $i_{p}\colon l^{1}\to l^{p}$ be the inclusion map, and let $i_{w}\colon l^{1}\to l^{1}_{w}$ be the canonical…

For a locally convex space $X$ with the system $\mathscr U_0(X)$ of absolutely convex $0$-neighbourhoods, define its diametral dimension by … Define also … where $\mathscr B(X)$ is…