Výsledky vyhledávání - "homogeneous linear equations"

Report

Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields

Autor: Hobby, David, Jun, Jaiung

We introduce a class of hyperfields which includes several constructions of non-quotient hyperfields. We then use it to partially answer a question posed by M. Baker and T. Zhang: Does a system of homogeneous linear equations with more unknowns than

Externí odkaz: http://arxiv.org/abs/2306.13232

Zobrazit plný text záznamu

Report

Solving homogeneous linear equations over polynomial semirings

Autor: Dong, Ruiwen

For a subset $B$ of $\mathbb{R}$, denote by $\operatorname{U}(B)$ be the semiring of (univariate) polynomials in $\mathbb{R}[X]$ that are strictly positive on $B$. Let $\mathbb{N}[X]$ be the semiring of (univariate) polynomials with non-negative inte

Externí odkaz: http://arxiv.org/abs/2209.13347

Zobrazit plný text záznamu

Report

A note on Lebesgue solvability of elliptic homogeneous linear equations with measure data

Autor: Biliatto, Victor, Picon, Tiago

In this work, we present new results on solvability of the equation $A^{*}(D)f=\mu$ for $f \in L^{p}$ and positive measure data $\mu$ associated to an elliptic homogeneous linear differential operator $A(D)$ of order m. Our method is based on $(m,p)-

Externí odkaz: http://arxiv.org/abs/2210.09768

Zobrazit plný text záznamu

Akademický článek

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Akademický článek

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Report

On the nontrivial solvability of systems of homogeneous linear equations over $\mathbb Z$ in ZFC

Autor: Šaroch, Jan

Following a recent paper by Herrlich and Tachtsis, we investigate in ZFC the following compactness question: for which unountable cardinals $\kappa$, an arbitrary nonempty system $S$ of homogeneous $\mathbb Z$-linear equations is nontrivially solvabl

Externí odkaz: http://arxiv.org/abs/1812.06958

Zobrazit plný text záznamu

Report

A structure theorem on non-homogeneous linear equations in Hilbert spaces

Autor: Ricceri, Biagio

A very particular by-product of the result announced in the title reads as follows: Let $(X,<\cdot,\cdot>)$ be a real Hilbert space, $T:X\to X$ a compact and symmetric linear operator, and $z\in X$ such that the equation $T(x)-\|T\|x=z$ has no soluti

Externí odkaz: http://arxiv.org/abs/1103.3416

Zobrazit plný text záznamu