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

Автор(и)

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

Анотація

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

Завантаження

Опубліковано

2020-09-21

Номер

Том 4 № 5 (2020)

Розділ

Статті

Ліцензія

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