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20242026
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math.FA2026

A -summability approach to the weak maximizing property

Oscar Iván Blanco Ardila, Vinícius C. C. Miranda

Motivated by the weak maximizing property (), we investigate -summability conditions on maximizing sequences of bounded linear operators. Since the naive -summa…

math.FA2026

The weak maximizing property for

Vinícius Miranda

We solve [4, Question 4.2] left open by Dantas, Jung and Martínez-Cervantes by providing a complete characterization for the pairs having the weak maximiz…

math.FA2026

Norm attainment for multilinear operators and polynomials on Banach Spaces and Banach lattices

Luis A. Garcia, José Lucas P. Luiz, Vinícius C. C. Miranda

We study norm attainment for multilinear operators and homogeneous polynomials between Banach spaces, as well as for positive multilinear operators between Banach lattices. We esta…

math.FA2025

Compact positive multilinear operators on Banach lattices

Geraldo Botelho, Vinicius C. C. Miranda

Let be such that and let be arbitrary measures. Generalizi…

math.FA2025

Gelfand-Phillips-type properties in Banach lattices

Halimeh Ardakani, Vinícius C. C. Miranda

We study -limited and almost -limited sets in Banach lattices and their connections with relatively -compact and relatively compact sets. We investigate the weak and the s…

math.FA2025

Arens extensions of disjointness preserving multilinear operators

Geraldo Botelho, Luis Alberto Garcia, Vinícius C. C. Miranda

First we give a counterexample showing that, unlike the second adjoint of a disjointness preserving linear operator, Arens extensions of disjointness preserving multilinear operato…