The Banach-Saks index of some sequence spaces

We construct an example of a Rademacher subspace without the Banach-Saks property and study the relationship between the Banach-Saks indices of a space with a symmetric basis and its dual.

Saved in:
Bibliographic Details
Published in:Siberian mathematical journal 2010-03, Vol.51 (2), p.296-300
Main Author: Novikova, A. I.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We construct an example of a Rademacher subspace without the Banach-Saks property and study the relationship between the Banach-Saks indices of a space with a symmetric basis and its dual.
ISSN:0037-4466
1573-9260
DOI:10.1007/s11202-010-0030-7