Some results on the span of families of Banach valued independent, random variables

Rohan Hemasinha

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-4

Abstract:

Let E be a Banach space, and let ( Ω , ℱ , P ) be a probability space. If L 1 ( Ω ) contains an isomorphic copy of L 1 [ 0 , 1 ] then in L E P ( Ω ) ( 1 ≤ P < ∞ ) , the closed linear span of every sequence of independent, E valued mean zero random variables has infinite codimension. If E is reflexive or B -convex and 1 < P < ∞ then the closed ( in L E P ( Ω ) ) linear span of any family of independent, E valued, mean zero random variables is super-reflexive.

Date: 1991
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/14/861237.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/14/861237.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:861237

DOI: 10.1155/S0161171291000443

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().