Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589838 | Journal of Functional Analysis | 2015 | 54 Pages |
Abstract
We construct a class of minimal trees and use these trees to establish a number of coloring theorems on general trees. Among the applications of these trees and coloring theorems are quantification of the Bourgain ℓpℓp and c0c0 indices, dualization of the Bourgain c0c0 index, establishing sharp positive and negative results for constant reduction, and estimating the Bourgain ℓpℓp index of an arbitrary Banach space X in terms of a subspace Y and the quotient X/YX/Y.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ryan M. Causey,