A Proof of Komlós Theorem for Super-Reflexive Valued Random Variables

We give a geometrical proof of Komlós’ theorem for sequences of random variables with values in super-reflexive Banach space. Our approach is inspired by the elementary proof given by Guessous in 1996 for the Hilbert case and uses some geometric properties of smooth spaces.

Bibliographic Details
Main Authors: Abdessamad Dehaj, Mohamed Guessous
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/9/3/106