Equilateral sets in infinite dimensional Banach spaces

Details Equilateral sets in infinite dimensional Banach spaces Equilateral sets in infinite dimensional Banach spaces

2011-11-09

arxiv.org/abs/1111.2273v1

Mathematics

Functional Analysis

15 pages, no figures

Scientific paper

We show that every Banach space $X$ containing an isomorphic copy of $c_0$ has an infinite equilateral set and also that if $X$ has a bounded biorthogonal system of size $\alpha$ then it can be renormed so as to admit an equilateral set of equal size. If $K$ is any compact non metrizable space, then under a certain combinatorial condition on $K$ the Banach space $C(K)$ has an uncountable equilateral set.

Affiliated with

Also associated with

No associations

Rating

Equilateral sets in infinite dimensional 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 Equilateral sets in infinite dimensional Banach spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equilateral sets in infinite dimensional Banach spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-43173