A Characterization of Polynomially Convex Sets in Banach Spaces

Mortaza Abtahi, Sara Farhangi

Let $E$ be a Banach space and $\X$ be the closed unit ball of the dual space $E^{\ast }$. For a compact set $K$ in $E$, we prove that $K$ is polynomially convex in $E$ if and only if the…