Mathematics – Functional Analysis
Scientific paper
1993-03-29
Note Mat., 13 (1993), no. 2, 217-227
Mathematics
Functional Analysis
Scientific paper
If a separable Banach space $X$ is such that for some nonquasireflexive Banach space $Y$ there exists a surjective strictly singular operator $T:X\to Y$ then for every countable ordinal $\alpha $ the dual of $X$ contains a subspace whose weak$^*$ sequential closures of orders less than $\alpha $ are not norming over any infinite-dimensional subspace of $X$ and whose weak$^*$ sequential closure of order $\alpha +1$ coincides with $X^*$
No associations
LandOfFree
Total subspaces with long chains of nowhere norming weak$^*$ sequential closures 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 Total subspaces with long chains of nowhere norming weak$^*$ sequential closures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Total subspaces with long chains of nowhere norming weak$^*$ sequential closures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-214075