Convergence theorems for Pettis integrable functions and regular methods of summability

Convergence of Weak*-Scalarly Integrable Functions

“…In this paper, we have established a Komlós theorem in L 1 E [E] and used it to give some weak convergence results. Other works have followed a similar approch in different function spaces, such as the space of Bochner integrable functions and the space of Pettis integrable functions (see [5][6][7]).…”

Convergence theorems for Pettis integral of functions taking values in locally convex spaces

“…Theorem 2.3 is the analogue of Theorem 2.8 in [9]. For more information on convergence theorems for Pettis integral, see [6], [7], [8], [4] and [2].…”