Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 278
Pettis Integrability in L1 E' [E] Related to the Truncation
Noureddine Sabiri, Mohamed Guessous
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2241
April 15, 2241

Abstract: Several authors studied the Pettis integrability of Banach space valued functions ([4],[5],[6],[8],[9]) and especially of dual Banach space valued functions [1] and [10]. In this communication we are interested by Pettis integrability for scalarly integrable function of L1 E' [E], E being a separable Banach space. Our study is based on the truncation technique that has been adopted in [2], [3] to state some Komlós type theorems for Bochner integrable functions and in [7] to provide a Komlós type theorem in L1 E' [E].