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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 ... -
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
Elsevier (2019-04)We consider the numerical time-integration of the non-stationary Klein–Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators is ... -
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
Elsevier (2020-03-15)Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very often, ... -
Occultation of Planets by the Moon in European Narrative Medieval Sources
Sage (2019-05)Existing research dealing with astronomical observations from medieval Europe have extensively covered topics such as solar and lunar eclipses and sightings of comets and meteors, but no compilation of occultations of ... -
On interpolating sequences for Bloch type spaces
Elsevier (2022-02-14)When we deal with , it is known that interpolating sequences are interpolating and it is sufficient to interpolate idempotents of in order to interpolate the whole . We will extend these results to the frame of interpolating ... -
On Multi-Index Filtrations Associated to Weierstraß Semigroups
Springer, Cham (2020-05-14)This paper is a survey on the main techniques involved in the computation of the Weierstraß semigroup at several points of curves defined over perfect fields, with special emphasis on the case of two points. Some hints ... -
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 ... -
On the Algebras VN(H) and VN(H)(*) of an Ultraspherical Hypergroup H
Cambridge University Press (2022-12-12)Let H be an ultraspherical hypergroup and let A(H) be the Fourier algebra associated with H. In this paper, we study the dual and the double dual of A(H). We prove among other things that the subspace of all ... -
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
Springer (2023)In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ = 0) and Traub’s method ... -
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 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)