Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663485 | Acta Mathematica Scientia | 2016 | 5 Pages |
Abstract
The author shows a characterization of a (unbounded) weakly filter convergent sequence which is parallel to that every weakly null sequence (xn) in a Banach space admits a norm null sequence (yn) with yn∈co(xk)k≥n for all n∈ℕ. A version of the Radon-Riesz type theorem is also proved within the frame of the filter convergence.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)