Mathematics – Functional Analysis
Scientific paper
1993-02-03
Mathematics
Functional Analysis
Scientific paper
Let F be a quasi-linear map on a separable normed space X, and assume that F splits on an infinite-dimensional subspace of X. Then the twisted sum topology induced by F on the direct sum of X and the real line can be written as the supremum of a nearly convex topology and a trivial dual topology. (This partially answers a question of Klee.) The result applies when X is \ell_1 and F is the Ribe function or when X is James's space.
No associations
LandOfFree
Twisted sums and a problem of Klee 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 Twisted sums and a problem of Klee, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted sums and a problem of Klee will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-34615