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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 the extreme non-Arens regularity of Banach algebras
Wiley (2021-07-04)As is well-known, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper, we show that 1-bases which approximate upper and lower triangles of products of elements in the ... -
On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
Springer (2022-03-21)Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q2-ary linear codes. This result can be generalized to q2m-ary linear codes, m>1. We give a result for easily obtaining quantum codes ... -
On using Reproducing Kernel Hilbert Spaces for the analysis of Replicated Spatial Point Processes
Elsevier (2023)This paper focuses on the use of the theory of Reproducing Kernel Hilbert Spaces in the statistical analysis of replicated point processes. We show that spatial point processes can be observed as random variables in a ... -
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 ... -
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 ... -
Optimal approximation to unitary quantum operators with linear optics
Springer Nature (2021-09-21)Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov’s theorem from differential geometry, we ... -
Order of products of elements in finite groups
Wiley (2018-10)If G is a finite group, p is a prime, and x∈G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p‐elements y of G. -
Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras
Elsevier (2022-03-04)A Banach algebra is Arens-regular when all its continuous functionals are weakly almost periodic, in symbols when ⁎ . To identify the opposite behaviour, Granirer called a Banach algebra extremely non-Arens regular ... -
Phase portraits of Abel quadratic differential systems of the second kind
Taylor & Francis (2018)We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits. -
Pointwise convergence topology and function spaces in fuzzy analysis
University of Sistan and Baluchestan (2018-03)We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(\mathbb{E}\sp{1},d\sb{\infty})$ endowed with the pointwise convergence topology. Our results generalize the ... -
Preface for the special issue “Geometric numerical integration, twenty-five years later”
Taylor and Francis (2023) -
QOptCraft: A Python package for the design and study of linear optical quantum systems
Elsevier (2022-08-29)The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most ... -
Quasi-cyclic constructions of quantum codes
Elsevier (2018-07)We give sufficient conditions for self-orthogonality with respect to symplec- tic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic ... -
Reliability Validation of a Low-Cost Particulate Matter IoT Sensor in Indoor and Outdoor Environments Using a Reference Sampler
MDPI (2019)A suitable and quick determination of air quality allows the population to be alerted with respect to high concentrations of pollutants. Recent advances in computer science have led to the development of a high number of ... -
Runge–Kutta–Nyström symplectic splitting methods of order 8
Elsevier (2022-12)Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ... -
[S]-linear and convex structures in function families
Elsevier (2019)In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for instance, ... -
Sampling Almost Periodic and Related Functions
Springer (2020-10)We consider certain finite sets of circle-valued functions defined on intervals of real numbers and estimate how large the intervals must be for the values of these functions to be uniformly distributed in an approximate ... -
Sensitive dependence for nonautonomous discrete dynamical systems
Elsevier (2018-03)Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions ... -
Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces
Taylor and Francis (2023-02-01)We consider flags E• = {X ⊃ E ⊃ {q}}, where E is an exceptional divisor defining a non-positive at infinity divisorial valuation νE of a Hirzebruch surface Fδ , q a point in E and X the surface given by νE , and determine ...