Khintchine and Rosenthal Inequalities in Non-Commutative Symmetric Banach Functions Spaces

Abubaker Mukhtatar I., Hail Suwayhi. A., Ibrahim Hamza H.

Abstract


We present a direct proof of the upper Khintchine inequality for non-commutative symmetric spaces and derive an improved version of Rosenthal Theorem for sums of independent random variables in non-commutative symmetric spaces. As a result we obtain a new proof of Rosenthal Theorem for Lp spaces.

Keywords: Symmetric spaces, non-commutative spaces, Rosenthal inequalities, Khintchine inequalities


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Copyright (c) 2020 Abubaker Mukhtatar I., Hail Suwayhi. A., Ibrahim Hamza H.

Copyright CC BY © European Modern Studies Journal 2017-2021   ISSN 2522-9400

Лицензия Creative Commons


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