The Szlenk index and local l_1-indices

Details The Szlenk index and local l_1-indices The Szlenk index and local l_1-indices

2000-09-29

arxiv.org/abs/math/0009250v1

Mathematics

Functional Analysis

LaTeX2e, 41 pages, to appear in Positivity

Scientific paper

We introduce two new local l_1-indices of the same type as the Bourgain l_1 index; the l_1^+-index and the l_1^+-weakly null index. We show that the l_1^+-weakly null index of a Banach space X is the same as the Szlenk index of X, provided X does not contain l_1. The l_1^+-weakly null index has the same form as the Bourgain l_1 index: if it is countable it must take values omega^alpha for some alpha

Affiliated with

Also associated with

No associations

Rating

The Szlenk index and local l_1-indices 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 The Szlenk index and local l_1-indices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Szlenk index and local l_1-indices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3039