R. Causey

activity

20152020

most citedThe complexity of some ordinal determined classes of operators

1 citations · 1 across the 10 of their papers we have counts for

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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…

math.FA2020

On injective tensor powers of $ℓ_{1}$

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

In this paper we prove that the $3$ -fold injective tensor product $ℓ_{1} \otimes_{ε} ℓ_{1} \otimes_{ε} ℓ_{1}$ is not isomorphic to any subsp…

math.FA2020

Higher projective tensor products of $c_{0}$

R. M. Causey, Stephen J. Dilworth

Let $m, n$ be positive integers with $m < n$ . Under certain assumptions on the Banach space $X$ , we prove that the $n$ -fold projective tensor product of $X$ , $\otimes_{π}^{n} X$ ,…

math.FA2020

Uniform upper estimates and the repeated averages hierarchy

R. M. Causey

We use the repeated averages hierarchy to prove a Ramsey theorem regarding uniform upper estimates of convex block sequences of weakly null sequences. The base case of the theorem…

math.FA2020

$c_{0} \otimes_{π} c_{0} \otimes_{π} c_{0}$ is not isomorphic to a subspace of $c_{0} \otimes_{π} c_{0}$

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

In the present paper we prove that the $3$ -fold projective tensor product of $c_{0}$ , $c_{0} \otimes_{π} c_{0} \otimes_{π} c_{0}$ , is not isomorphic to a subspace of $c_…

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.…

Subprojectivity of projective tensor products of Banach spaces of continuous functions

On injective tensor powers of ℓ1​

Higher projective tensor products of c0​

Uniform upper estimates and the repeated averages hierarchy

c0​⊗​π​c0​⊗​π​c0​ is not isomorphic to a subspace of c0​⊗​π​c0​

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

On injective tensor powers of $ℓ_{1}$

Higher projective tensor products of $c_{0}$

$c_{0} \otimes_{π} c_{0} \otimes_{π} c_{0}$ is not isomorphic to a subspace of $c_{0} \otimes_{π} c_{0}$

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