Mathematics – Functional Analysis
Scientific paper
1991-03-22
Mathematics
Functional Analysis
Scientific paper
Let $(x_n)$ be a normalized weakly null sequence in a Banach space and let
$\varep>0$. We show that there exists a subsequence $(y_n)$ with the following
property: $$\hbox{ if }\ (a_i)\subseteq \IR\ \hbox{ and }\ F\subseteq \nat$$
satisfies $\min F\le |F|$ then $$\big\|\sum_{i\in F} a_i y_i\big\| \le
(2+\varep) \big\| \sum a_iy_i\big\|\ . $$
No associations
LandOfFree
On Schreier unconditional sequences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Schreier unconditional sequences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Schreier unconditional sequences will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-46506