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International Conference on Interdisciplinary Mathematical and Statistical Techniques - IMST 2008 / FIM XVI
May 16-18, 2008
University of Memphis
Memphis, TN, USA

Organizers
Sat Gupta, M.L. Aggarawal, James Jamison

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Weakly null sequences with upper estimates
by
Daniel Freeman
Texas A&M University

In this paper, we prove that if (vi) is a normalized basic sequence and X is a Banach space such that every normalized weakly null sequence in X has a subsequence that is dominated by (vi), then there exists a uniform constant C ≥ 1 such that every normalized weakly null sequence in X has a subsequence that is C-dominated by (vi). This extends a result of Knaust and Odell, who proved this for the cases in which (vi) is the standard basis for lp or c0.

Date received: January 31, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavi-86.