Linear dependence of powers of linear forms
Journal Title: Annales Mathematicae Silesianae - Year 2015, Vol 29, Issue
Abstract
The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers of linear forms.
Authors and Affiliations
Andrzej Sładek
Keywords
Related Articles
- EP ID EP230412
- DOI 10.1515/amsil-2015-0010
- Views 137
- Downloads 0
Lie derivations on trivial extension algebras
In this paper we provide some conditions under which a Lie derivation on a trivial extension algebra is proper, that is, it can be expressed as a sum of a derivation and a center valued map vanishing at commutators. We t...
The behaviour of weak solutions of boundary value problems for linear elliptic second order equations in unbounded cone-like domains
We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find...
Fixed point results satisfying rational type contractive conditions in complex valued metric spaces
The aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known...
Random dynamical systems with jumps and with a function type intensity
In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant $\lambda$. In this paper we formulate criteria for the existence...
Exponential convergence for Markov systems
Markov operators arising from graph directed constructions of iterated function systems are considered. Exponential convergence to an invariant measure is proved.