Strongly Exposed Points in Lebesgue-Bochner Function Spaces

Zhibao Hu, Bor-Luh Lin
1994 Proceedings of the American Mathematical Society  
It is a result of Peter Greim that if / is a strongly exposed point of the unit ball of Lebesgue-Bochner function space LP {p., X), 1 < p < oo , then / is a unit vector and f(t)/\\f{t)\\ is a strongly exposed point of the unit ball of X for almost all t in the support of /. We prove that the converse is also true.
doi:10.2307/2160232 fatcat:bwolhy2ntvcwhlg7u3uqqkrb3e