10 citations · 34 across the 37 of their papers we have counts for
6 papers · 1 filter
Almost isometric constants for partial unconditionality
Ryan M. Causey, Stephen J. Dilworth
We discuss optimal constants of certain projections on subsequences of weakly null sequences. Positive results yield constants arbitrarily close to for Schreier type projection…
An ordinal index characterizing weak compactness of operators
Ryan M. Causey
We introduce an ordinal index which characterizes weak compactness of operators between Banach spaces. We study when classes consisting of operators having bounded index form a clo…
Classes of operators determined by ordinal indices
Kevin Beanland, Ryan Causey, Daniel Freeman +1
We introduce and study the Bourgain index of an operator between two Banach spaces. In particular, we study the Bourgain and indices of an operator. Several estimate…
An alternate description of the Szlenk index with applications
Ryan M. Causey
We discuss an alternate method for computing the Szlenk index of an arbitrary compact subset of the dual of a Banach space. We discuss consequences of this method as well as…
Proximity to and in Banach spaces
Ryan Causey
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 a…
Concerning the Szlenk index
Ryan Causey
We discuss pruning and coloring lemmas on regular families. We discuss several applications of these lemmas to computing the Szlenk index of certain compact subsets of the du…