On antichains of spreading models of Banach spaces

Details On antichains of spreading models of Banach spaces On antichains of spreading models of Banach spaces

2008-05-14

arxiv.org/abs/0805.2038v1

Canadian Mathematical Bulletin 53 (2010), 64-76

Mathematics

Functional Analysis

14 pages, no figures. Canadian Mathematical Bulletin (to appear)

Scientific paper

We show that for every separable Banach space $X$, either $\spw(X)$ (the set
of all spreading models of $X$ generated by weakly-null sequences in $X$,
modulo equivalence) is countable, or $\spw(X)$ contains an antichain of the
size of the continuum. This answers a question of S. J. Dilworth, E. Odell and
B. Sari.

Affiliated with

Also associated with

No associations

Rating

On antichains of spreading models of Banach spaces 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 antichains of spreading models of Banach spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On antichains of spreading models of Banach spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-55759