\ell ^1-spreading models in mixed Tsirelson space

Details \ell ^1-spreading models in mixed Tsirelson space \ell ^1-spreading models in mixed Tsirelson space

2003-03-29

arxiv.org/abs/math/0303375v1

Mathematics

Functional Analysis

Scientific paper

Suppose that (F_n)_{n=1}^{\infty} is a sequence of regular families of finite subsets of N and (\theta_n)_{n=1}^{\infty} is a nonincreasing null sequence in (0,1). The mixed Tsirelson space T[(\theta_{n}, F_n)_{n=1}^{\infty}] is the completion of $c_{00}$ with respect to the implicitly defined norm ||x|| = max{||x||_{c_0}, sup_n sup \theta_n \sum_{i=1}^{j}||E_{i}x||}, where the last supremum is taken over all finite subsets E_{1},...,E_{j} of N such that E_1 < >...

Affiliated with

Also associated with

No associations

Rating

\ell ^1-spreading models in mixed Tsirelson space 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 \ell ^1-spreading models in mixed Tsirelson space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and \ell ^1-spreading models in mixed Tsirelson space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171586