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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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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 ...
Continuous Selections and Extremally Disconnected Spaces
(MDPI, 2023)
This paper deals with extremally disconnected spaces and extremally disconnected Pspaces. A space X is said to be extremally disconnected if, for every open subset V of X, the closure
of V in X is also an open set. P-spaces ...