C. Samuel

collaborators

4 papers

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.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

Szlenk index of $C (K) \otimes_{π} C (L)$

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

We compute the Szlenk index of an arbitrary projective tensor product $C (K) \otimes_{π} C (L)$ of spaces $C (K), C (L)$ of continuous functions on scattered, compact, Hausdorff…

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_…

Isomorphic classification of projective tensor products of spaces of continuous functions

On injective tensor powers of ℓ1​

Szlenk index of C(K)⊗​π​C(L)

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

On injective tensor powers of $ℓ_{1}$

Szlenk index of $C (K) \otimes_{π} C (L)$

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