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 2019Show all

4 papers · 1 filter

math.FA2019

Uniform subsequential estimates on weakly null sequences

M. Brixey, R. M. Causey, P. Frankart

We provide a generalization of two results of Knaust and Odell from \cite{KO2} and \cite{KO}. We prove that if $X$ is a Banach space and $(g_{n})_{n = 1}^{\infty}$ is a right dominant Sc…

math.FA2019

$S z (\cdot) ⩽ ω^{ξ}$ is rarely a three space property

R. M. Causey

We prove that for any non-zero, countable ordinal $ξ$ which is not additively indecomposable, the property of having Szlenk index not exceeding $ω^{ξ}$ is not a three space property.…

math.FA2019

A $ξ$ -weak Grothendieck compactness principle

Kevin Beanland, R. M. Causey

For $0 ⩽ ξ ⩽ ω_{1}$ , we define the notion of $ξ$ -weakly precompact and $ξ$ -weakly compact sets in Banach spaces and prove that a set is $ξ$ -weakly precompact if and onl…

math.FA2019★ 1 cited

The complexity of some ordinal determined classes of operators

R. M. Causey

We compute the complexity of the classes of operators $G_{ξ, ζ} \cap L$ and $M_{ξ, ζ} \cap L$ in the coding of operators between separable B…

Uniform subsequential estimates on weakly null sequences

Sz(⋅)⩽ωξ is rarely a three space property

A ξ-weak Grothendieck compactness principle

The complexity of some ordinal determined classes of operators

$S z (\cdot) ⩽ ω^{ξ}$ is rarely a three space property

A $ξ$ -weak Grothendieck compactness principle