Behavior of holomorphic mappings on $p$-compact sets in a Banach space
Behavior of holomorphic mappings on $p$-compact sets in a Banach space
We study the behavior of holomorphic mappings on $p$-compact sets in Banach spaces. We show that the image of a $p$-compact set by an entire mapping is a $p$-compact set. Some results related to the localization of $p$-compact sets in the predual of homogeneous polynomials are also obtained. Finally, the …