arXiv subjects

Antoine Mhanna

Publications and source records attributed to Antoine Mhanna.

5 recordsLinked to original sources

arXiv2023

On Families of Numerical Semigroups with two Coprime Generators and Dimension three

This paper examines in a new way some known facts about numerical semigroups especially when the number of minimal generators (that is the embedding dimension) is at most three and at least two minimal generators are coprime. For such semigroups, an algorithm is re-investigated to find the pseudo-Frobenius numbers. A certain family of $n$ dimensional numerical semigroups of type at most $n-1$ is also given.

math.NT↗

arXiv2016

Some variational principles over finite dimentional Hilbert spaces

In this paper a new variational approach concerning functions (continuous) over Hilbert spaces is presented.

math.FA↗

arXiv2015

On Symmetric Norm Inequalities And Hermitian Block-Matrices

The main purpose of this paper is to englobe some new and known types of Hermitian block-matrices $M=\begin{pmatrix} A \& X\\ {X^*} \& B\end{pmatrix}$ satisfying or not the inequality $\|M\|\le \|A+B\|$ for all symmetric norms

math.RA↗

arXiv2015

Symmetric Norm Inequalities And Positive Semi-Definite Block-Matrices

For positive semi-definite block-matrix $M,$ we say that $M$ is P.S.D. and we write $M=\begin{pmatrix} A \& X\\ {X^*} \& B\end{pmatrix} \in {\mathbb{M}}\_{n+m}^+$, with $A\in {\mathbb{M}}\_n^+$, $B \in {\mathbb{M}}\_m^+.$ The focus is on studying the consequences of a decomposition lemma due to C.~Bourrin and the main result is extending the class of P.S.D. matrices $M$ written by blocks of same size that satisfies the inequality: $\|M\|\le \|A+B\|$ for all symmetric norms.

math.FA↗

arXiv2015

Variational problems on product spaces Different obstacle constraints

We study two principle minimizing problems, subject of different constraints. Our open sets are assumed bounded, except mentioning otherwise;precisely $Ω=]0,1[^n \in {\mathbb{R}}^n , n=1 $ or $n=2$.

math.AP↗