International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 2, Pages 209-221
doi:10.1155/S0161171279000193
p-integrable selectors of multimeasures
Richard A. Alò1
, Andre De Korvin2
and Charles E.jun. Roberts2
1Department of Mathematics, Lamar University, Beaumont 77710, Texas, USA
2Department of Mathematics, Indiana State University, Terre Haute 47809, Indiana, USA
Abstract
The present work is a study of multivalued functions and measures which have many applications to mathematical economics and control problems. Both have received considerable attention in recent years. We study the set of selectors of the space of all p- integrable, X- valued additive set functions. This space contains an isometrically imbedded copy of Lp(X).