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

46 papers

math.FA2023

A short calculation of the Szlenk index of spaces of continuous functions

R. M. Causey

We provide a short calculation of the Szlenk index of $C (K)$ spaces using the Grasberg norm.

math.FA2022

Asymptotic smoothness and universality in Banach spaces

Ryan M. Causey, Gilles Lancien

For $1 < p ⩽ \infty$ , we study the complexity and the existence of universal spaces for two classes of separable Banach spaces, denoted $A_{p}$ and $N_{p}$ , and…

math.FA2022

Universality, complexity and asymptotically uniformly smooth Banach spaces

Ryan M. Causey, Gilles Lancien

For $1 < p \leq \infty$ , we show the existence of a Banach space which is both injectively and surjectively universal for the class of all separable Banach spaces with an equivalent $p…

math.FA2022

Isomorphic classification of projective tensor products of spaces of continuous functions

R. M. Causey, E. Galego, C. Samuel

We prove that for infinite, countable, compact, Hausdorff spaces $K, L$ , $C (K) \otimes_{π} C (L)$ is isomorphic to exactly one of the spaces $C(ω^{ω^ξ})\widehat{\otimes}_πC(ω^{…

math.FA2021★ 1 cited

Asymptotic smoothness in Banach spaces, three space properties and applications

R. M. Causey, A. Fovelle, G. Lancien

We study four asymptotic smoothness properties of Banach spaces, denoted $T_{p}, A_{p}, N_{p}$ and $P_{p}$ . We complete their description by proving the…

math.FA2020

Subprojectivity of projective tensor products of Banach spaces of continuous functions

R. M. Causey

Galego and Samuel showed that if $K, L$ are metrizable, compact, Hausdorff spaces, then $C (K) \otimes_{π} C (L)$ is $c_{0}$ -saturated if and only if it is subprojective if and on…