Polynomial continuity on $\ell _1$
Polynomial continuity on $\ell _1$
A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. A Banach space $X$ has property (RP) if given two bounded sequences $(u_j), (v_j)\subset X$, we have that $Q(u_j)-Q(v_j)\rightarrow 0$ for every polynomial $Q$ …