Ariel S. Santiago

collaborators

2 papers

math.FA2024

Representation of sequence classes by operator ideals

Geraldo Botelho, Ariel S. Santiago

It is well known that weakly $p$ -summable sequences in a Banach space $E$ are associated to bounded operators from $ℓ_{p^{*}}$ to $E$ , and unconditionally $p$ -summable sequences i…

math.FA2023

Symmetric ideals of generalized summing multilinear operators

Geraldo Botelho, Ariel S. Santiago

Let $X_{1}, \dots, X_{n}, Y$ be classes of Banach spaces-valued sequences. An $n$ -linear operator $A$ between Banach spaces belongs to the ideal of $(X_{1}, \dots, X_{n}; Y)$ -summing multi…