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Weakly compact holomorphic mappings on Banach spaces
1988
Pacific Journal of Mathematics
A holomorphic mapping /: E -> F of complex Banach spaces is weakly compact if every x e E has a neighbourhood V x such that f(V x ) is a relatively weakly compact subset of F. Several characterizations of weakly holomorphic mappings are given which are analogous to classical characterizations of weakly compact linear mappings and the Davis-Figiel-Johnson-Pelczynski factorization theorem is extended to weakly compact holomorphic mappings. It is shown that the complex Banach space E has the
doi:10.2140/pjm.1988.131.179
fatcat:dxcg3o7fzvg5vlzz4nhlwtmmre