DUALITY AND DOMINATING EXTENSION THEOREMS IN NONCANCELLATIVE NORMED CONES

摘要: Let C be a cone. We study the relation between structure of space linear functions from to R and cancellativity addi- tive operation in C. In particular, we prove separation result by defining an equivalence Q that is given cone, show function on subcone S can extended whole cone whenever its associated quotient S/Q cancellative C/Q. This provides technique for generalization Hahn-Banach type theorems extensions real func- tionals noncancellative normed cones.