R. Causey

activity

20122023

most citedOn the geometry of the countably branching diamond graphs

10 citations · 34 across the 37 of their papers we have counts for

collaborators

Showing 2016Show all

9 papers · 1 filter

math.MG2016★ 10 cited

On the geometry of the countably branching diamond graphs

Florent P. Baudier, Ryan Causey, Stephen DIlworth +4

In this article, the bi-Lipschitz embeddability of the sequence of countably branching diamond graphs $(D_{k}^{ω})_{k \in N}$ is investigated. In particular it is shown that for…

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

Power type $ξ$ -asymptotically uniformly smooth norms

Ryan M Causey

We extend a precise renorming result of Godefroy, Kalton, and Lancien regarding asymptotically uniformly smooth norms of separable Banach spaces with Szlenk index $ω$ . For every or…

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.FA2016

$ξ$ -asymptotically uniformly smooth, $ξ$ -asymptotically uniformly convex, and $(β)$ operators

Ryan M. Causey, Stephen J. Dilworth

For each ordinal $ξ$ , we define the notions of $ξ$ -asymptotically uniformly smooth and $w^{*}$ - $ξ$ -asymptotically uniformly convex operators. When $ξ = 0$ , these extend the notions of…

math.FA2016

Szlenk and $w^{*}$ -dentability indices of $C (K)$

Ryan M Causey

Given any compact, Hausdorff space $K$ and $1 < p < \infty$ , we compute the Szlenk and $w^{*}$ -dentability indices of the spaces $C (K)$ and $L_{p} (C (K))$ . We show that if $K$ is compact, H…

On the geometry of the countably branching diamond graphs

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

Power type ξ-asymptotically uniformly smooth norms

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

ξ-asymptotically uniformly smooth, ξ-asymptotically uniformly convex, and (β) operators

Szlenk and w∗-dentability indices of C(K)

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

Power type $ξ$ -asymptotically uniformly smooth norms

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

$ξ$ -asymptotically uniformly smooth, $ξ$ -asymptotically uniformly convex, and $(β)$ operators

Szlenk and $w^{*}$ -dentability indices of $C (K)$