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On the existence of non-norm-attaining operators
(Cambridge University Press, 2021-07-09)
In this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in L(E,F)
. By using a theorem due to Pfitzner on James boundaries, we show that if there exists a ...
On norm-attainment in (symmetric) tensor products
(Taylor & Francis, 2022)
In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space X, which turns out to be naturally related to the classical norm-attainment of N -homogeneous polynomials ...
Norm-Attaining Tensors and Nuclear Operators
(Springer, 2022-06)
Given two Banach spaces X and Y, we introduce and study a concept of norm-attainment in the space of nuclear operators (𝑋�,𝑌�) and in the projective tensor product space 𝑋�⊗ˆ𝜋�𝑌�. We exhibit positive and negative ...
Arens regularity of ideals of the group algebra of a compact Abelian group
(Cambridge University Press, 2023-10-27)
Let G be a compact Abelian group and E a subset of the group Gˆ of continuous characters of G . We study Arens regularity-related properties of the ideals L1E(G) of L1(G) that are made of functions whose ...
Optimal (r,δ)-LRCs from monomial-Cartesian codes and their subfield-subcodes
(Springer, 2024-05-02)
We study monomial-Cartesian codes (MCCs) which can be regarded as (r,δ)-locally recoverable codes (LRCs). These codes come with a natural bound for their minimum distance and we determine those giving rise to (r,δ)-optimal ...
Effectiveness of Hyperthermic Intraperitoneal Chemotherapy Associated with Cytoreductive Surgery in the Treatment of Advanced Ovarian Cancer: Systematic Review and Meta-Analysis
(MDPI, 2023-01-30)
Objective: The use of hyperthermic intraperitoneal chemotherapy (HIPEC) as a treatment for epithelial ovarian cancer remains controversial. Our study aims to analyze the overall survival and disease-free survival for the ...
Written on stone: Engraved European medieval solar eclipses
(Cambridge University Press, 2019-12)
In the context of the European Middle Ages as the period roughly covering from the 5th to the 15th centuries, the astronomical records are rarery found in scientific treatises. At least, not until the 15th century. A few ...
Modeling spatial dependencies of natural hazards in coastal regions: a nonstationary approach with barriers
(Springer, 2023)
Natural hazards like floods, cyclones, earthquakes, or, tsunamis have deep impacts on the environment and society causing damage to both life and property. These events can cause widespread destruction and can lead to ...
Dynamics of a Family of Rational Operators of Arbitrary Degree
(Vilnius Gediminas Technical University, 2021-05-26)
. In this paper we analyse the dynamics of a family of rational operators
coming from a fourth-order family of root-finding algorithms. We first show that
it may be convenient to redefine the parameters to prevent ...
On various types of density of numerical radius attaining operators
(Taylor and Francis, 2023)
In this paper, we are interested in studying Bishop-Phelps-Bollob´as type properties related to the denseness of the operators which attain their numerical radius. We prove that
every Banach space with a micro-transitive ...