C. Aylwin

activity

20232026

collaborators

3 papers

math.FA2026

Grothendieck ideals of $ℓ_{\infty}$

Michael Hrusák, Michael A. Rincón-Villamizar, Luis Sáenz +1

We answer several questions in the literature concerning the Grothendieck property of ideals of the Banach lattice $ℓ_{\infty}$ that contain $c_{0}$ . Any such ideal can be represent…

math.FA2025

On the complementation of spaces of $I$ -null sequences

Michael A. Rincón-Villamizar, Carlos Uzcátegui Aylwin

We study the complementation (in $ℓ_{\infty}$ ) of the Banach space $c_{0, I}$ , consisting of all bounded sequences $(x_{n})$ that $I$ -converge to $0$ , endowed wit…

math.FA2023

Banach spaces of $I$ -convergent sequences

Michael A. Rincón-Villamizar, Carlos Uzcátegui Aylwin

We study the space $c_{0, I}$ of all bounded sequences $(x_{n})$ that $I$ -converge to $0$ , endowed with the sup norm, where $I$ is an ideal of subsets of…

Grothendieck ideals of ℓ∞​

On the complementation of spaces of I-null sequences

Banach spaces of I-convergent sequences

Grothendieck ideals of $ℓ_{\infty}$

On the complementation of spaces of $I$ -null sequences

Banach spaces of $I$ -convergent sequences