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6 papers

math.FA2026

The weak maximizing property for

Vinícius Miranda

The paper fully characterizes the pairs of Lebesgue spaces (L_p([0,1]), L_q([0,1])) that possess the weak maximizing property, proving that this occurs only when p = q = 2, and use…

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

Arens extensions of disjointness preserving multilinear operators on Riesz spaces and Banach lattices

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

Let be (non necessarily Archimedean) Riesz spaces, let be an Archimedean Riesz space and let be a regular disjo…

math.FA2025

Compact positive multilinear operators on Banach lattices

Geraldo Botelho, Vinicius C. C. Miranda

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

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

On norm-attaining positive operators between Banach lattices

José Lucas P. Luiz, Vinícius C. C. Miranda

In this paper we study the norm-attainment of positive operators between Banach lattices. By considering an absolute version of James boundaries, we prove that: If is a reflexi…