Antonio Acuaviva

activity

20212025

collaborators

7 papers

math.FA2025

$C (K)$ -spaces with few operators relative to posets

Antonio Acuaviva

Extending a method developed by Koszmider and Laustsen for constructing $C (K)$ -spaces we produce families of $C (K)$ -spaces with few operators relative to a partially ordered set $\…

math.FA2025

The class of Banach lattices is not primary

Antonio Acuaviva

Building on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C (K)$ -spaces, and the subsequent work of De Hevia, Martínez-…

math.FA2025

Quantifying (non-)weak compactness of operators on $A L$ - and $C (K)$ -spaces

Antonio Acuaviva, Amir Bahman Nasseri

We study the representation of non-weakly compact operators between $A L$ -spaces. In this setting, we show that every operator admits a best approximant in the ideal of weakly compa…

math.FA2025

Operators on injective tensor products of separable Banach spaces and spaces with few operators

Antonio Acuaviva

We give a characterization of the operators on the injective tensor product $E \otimes^_{ε} X$ for any separable Banach space $E$ and any (non-separable) Banach space…

math.FA2025

Complemented subspaces of a $C (K)$ -space constructed by Candido

Antonio Acuaviva

We classify the complemented subspaces of $C_{0} (L \times L)$ , where $L$ is an exotic locally compact Hausdorff space recently constructed by Candido under Ostaszewski's $♣$ -…

cs.RO2024

Source-Seeking Problem with Robot Swarms

Antonio Acuaviva, Hector Garcia de Marina, Juan Jimenez

We present an algorithm to solve the problem of locating the source, or maxima, of a scalar field using a robot swarm. We demonstrate how the robot swarm determines its direction o…

C(K)-spaces with few operators relative to posets

The class of Banach lattices is not primary

Quantifying (non-)weak compactness of operators on AL- and C(K)-spaces

Operators on injective tensor products of separable Banach spaces and spaces with few operators

Complemented subspaces of a C(K)-space constructed by Candido

Source-Seeking Problem with Robot Swarms

$C (K)$ -spaces with few operators relative to posets

Quantifying (non-)weak compactness of operators on $A L$ - and $C (K)$ -spaces

Complemented subspaces of a $C (K)$ -space constructed by Candido