An approach to generalized Radon-Nikodym sets and generalized Pettis sets (Q5935592)

The author defines the notions of an ``A-Pettis'' set and an ``A-Radon Nikodym'' set as generalizations of Pettis sets and R-N sets, respectively, and uses these notions to give a unified treatment of certain other generalizations of Pettis and R-N sets.NEWLINENEWLINENEWLINEThe paper extends earlier results of the author on A-Pettis and A-R-N sets, noting similarities and contrasts and obtaining some new characterization of sets of these types. As such it is in many ways a survey of the field and its relation to the study of Pettis and R-N sets.