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math.FA2000
The Szlenk index and local l_1-indices
Dale Alspach, Robert Judd, Edward Odell
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 Ba…
math.FA2000
Trees and Branches in Banach Spaces
Edward Odell, Thomas Schlumprecht
An infinite dimensional notion of asymptotic structure is considered. This notion is developed in terms of trees and branches on Banach spaces. Every countably infinite countably b…