Extreme measurable selections

Jerry A. Johnson
1974 Proceedings of the American Mathematical Society  
The extreme points of the set of measurable selections for a set-valued mapping are characterized. As a corollary, the extreme points of the unit ball of the space of "vectorvalued L" functions" are characterized, thus generalizing results of Sundaresan.
doi:10.1090/s0002-9939-1974-0341068-5 fatcat:eksh2yjmvbalzkfsabhbvwearm