Ryan M. Causey

activity

20142017

most citedArbitrarily distortable Banach spaces of higher order

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2017

The Szlenk index of $L_{p} (X)$ and $A_{p}$

Ryan M. Causey

Given a Banach space $X$ , a $w^{*}$ -compact subset of $X^{*}$ , and $1 < p < \infty$ , we provide an optimal relationship between the Szlenk index of $K$ and the Szlenk index of an associate…

math.FA2016

A note on the relationship between the Szlenk and $w^{}$ -dentability indices of arbitrary $w^{}$ -compact sets

Ryan M Causey

We prove the optimal estimate between the Szlenk and $w^{*}$ -dentability indices of an arbitrary $w^{*}$ -compact subset of the dual of a Banach space. For a given $w^{*}$ -compact, convex…

math.FA2016

Quantitative Factorization of weakly compact, Rosenthal, and $ξ$ -Banach-Saks operators

Kevin Beanland, Ryan M Causey

We prove quantitative factorization results for several classes of operators, including weakly compact, Rosenthal, and $ξ$ -Banach-Saks operators.

math.FA2014★ 1 cited

Arbitrarily distortable Banach spaces of higher order

Kevin Beanland, Ryan Causey, Pavlos Motakis

We study an ordinal rank on the class of Banach spaces with bases that quantifies the distortion of the norm of a given Banach space. The rank $A D (\cdot)$ , introduced by P. Dodos,…

The Szlenk index of Lp​(X) and Ap​

A note on the relationship between the Szlenk and w∗-dentability indices of arbitrary w∗-compact sets

Quantitative Factorization of weakly compact, Rosenthal, and ξ-Banach-Saks operators

Arbitrarily distortable Banach spaces of higher order

The Szlenk index of $L_{p} (X)$ and $A_{p}$

A note on the relationship between the Szlenk and $w^{}$ -dentability indices of arbitrary $w^{}$ -compact sets

Quantitative Factorization of weakly compact, Rosenthal, and $ξ$ -Banach-Saks operators