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A Modified SIRD Model to Study the Evolution of the COVID-19 Pandemic in Spain
(Multidisciplinary Digital Publishing Institute, 2021-04-19)
In this paper, we use an SIRD model to analyze the evolution of the COVID-19 pandemic in
Spain, caused by a new virus called SARS-CoV-2 from the coronavirus family. This model is governed
by a nonlinear system of ...
The Bishop-Phelps-Bollobás properties in complex Hilbert space
(Wiley, 2021-12-02)
In this paper, we consider theBishop–Phelps–Bollobás point propertyfor variousclasses of operators on complex Hilbert spaces, which is a stronger property thanthe Bishop–Phelps–Bollobás property. We also deal with analogous ...
Exponential Perturbative Expansions and Coordinate Transformations
(MDPI, 2020)
We propose a unified approach for different exponential perturbation techniques used in
the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion,
the Floquet–Magnus expansion for periodic ...
An Accurate and Easy to Interpret Binary Classifier Based on Association Rules Using Implication Intensity and Majority Vote
(Multidisciplinary Digital Publishing Institute, 2021-06-01)
In supervised learning, classifiers range from simpler, more interpretable and generally
less accurate ones (e.g., CART, C4.5, J48) to more complex, less interpretable and more accurate ones
(e.g., neural networks, SVM). ...
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
(Elsevier, 2023-11-10)
The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial differential equations of Schrödinger and ...
Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems
(Oxford University Press, 2022-08-04)
Let X be a Banach space with a fundamental biorthogonal system, and let Y be the dense subspace spanned by the vectors of the system. We prove that Y admits a C∞-smooth norm that locally depends on finitely many coordinates ...
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 ...
Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras
(ElsevierAcademic Press, 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 ...
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 ...
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. ...