Ludovick Bouthat

activity

20212026

p

-norm of

A_{s}

and

C

-matrices

6 citations · 23 across the 18 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.FA2026

Norm of infinite doubly stochastic matrices

Ludovick Bouthat, Javad Mashreghi, Raphaël Vo

In finite dimensions, every doubly stochastic matrix has the $ℓ^{p}$ -operator norm equal to $1$ for all $1 \leq p \leq \infty$ . However, in the infinite-dimensional setting, this pr…

math.FA2024

Hunter's positivity theorem and random vector norms

Ludovick Bouthat, Ángel Chávez, Stephan Ramon Garcia

A theorem of Hunter ensures that the complete homogeneous symmetric polynomials of even degree are positive definite functions. A probabilistic interpretation of Hunter's theorem s…

math.FA2023

Weighted averages of $ℓ^{p}$ sequences

Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin

The objective of the present paper is to establish three Hardy-type inequalities in which the arithmetic mean over a sequence of non-negative real numbers is replaced by some weigh…

math.FA2021★ 6 cited

The $p$ -norm of circulant matrices

Ludovick Bouthat, Apoorva Khare, Javad Mashreghi +1

In this note we study the induced $p$ -norm of circulant matrices $A (n, \pm a, b)$ , acting as operators on the Euclidean space $R^{n}$ . For circulant matrices whose entries ar…

math.FA2021★ 6 cited

The critical point and the $p$ -norm of $A_{s}$ and $C$ -matrices

Ludovick Bouthat, Javad Mashreghi

The $L$ -matrix $A_{s} = [1/ (n + s)]$ was introduced in \cite{MRtmp}. As a surprising property, we showed that its 2-norm is constant for $s \geq s_{0}$ , where the critical point $s_{0}$ is u…

Norm of infinite doubly stochastic matrices

Hunter's positivity theorem and random vector norms

Weighted averages of ℓp sequences

The p-norm of circulant matrices

The critical point and the p-norm of As​ and C-matrices

Weighted averages of $ℓ^{p}$ sequences

The $p$ -norm of circulant matrices

The critical point and the $p$ -norm of $A_{s}$ and $C$ -matrices