RT Journal Article
T1 On Denjoy-Dunford and Denjoy-Pettis integrals.
A1 Gámez Merino, José Luis
A1 Mendoza Casas, José
AB The two main results of this paper are the following: (a) If X is a Banach space and f : [a, b] --> X is a function such that x*f is Denjoy integrable for all x* is an element of X*, then f is Denjoy-Dunford integrable, and (b) There exists a Dunford integrable function f : [a, b] --> c(0) which is not Pettis integrable on any subinterval in [a, b], while integral(J)f belongs to co for every subinterval J in [a, b]. These results provide answers to two open problems left by R. A. Gordon in [4]. Some other questions in connection with Denjoy-Dunford and Denjoy-Pettis integrals are studied.
PB Polish Acad Sciencies Inst Mathematics
SN 0039-3223
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/57301
UL https://hdl.handle.net/20.500.14352/57301
LA eng
NO D.G.I.C.Y.T.
DS Docta Complutense
RD 8 abr 2025