Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590569 | Journal of Functional Analysis | 2014 | 30 Pages |
Abstract
A subset A of a Banach space is called Banach–Saks when every sequence in A has a Cesàro convergent subsequence. Our interest here focuses on the following problem: is the convex hull of a Banach–Saks set again Banach–Saks? By means of a combinatorial argument, we show that in general the answer is negative. However, sufficient conditions are given in order to obtain a positive result.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
J. Lopez-Abad, C. Ruiz, P. Tradacete,