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MDS, Hermitian almost MDS, and Gilbert–Varshamov quantum codes from generalized monomial-Cartesian codes
(Springer Nature, 2024-03-01)
We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formulas for the minimum distance and dimension. ...
New and improved orbits of historical comets: Late 4th and 5th century
(Elsevier, 2022-05-22)
Since as early as the 19th century, many scholars have devoted themselves to the calculation of sets of orbital elements for particular historical comets. In many cases, these studies have led to proposing orbits that have ...
Splitting and composition methods in the numerical integration of differential equations
(Sociedad Española de Matemática Aplicada, 2008)
We provide a comprehensive survey of splitting and composition
methods for the numerical integration of ordinary differential equations
(ODEs). Splitting methods constitute an appropriate choice when the
vector field ...
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 ...
No-go theorems for photon state transformations in quantum linear optics
(Elsevier, 2023)
We give a necessary condition for photon state transformations in linear optical setups preserving the total number of photons. From an analysis of the algebra describing the quantum evolution, we find a conserved quantity ...
On interpolating sequences for Bloch type spaces
(ElsevierAcademic Press, 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 the extreme non-Arens regularity of Banach algebras
(WileyLondon Mathematical Society, 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 ...
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 ...