Add to ORKGLet A be a finite-dimensional, power-associative algebra over a field F, either R or C, and let S, a subset of A, be closed under scalar multiplication. A real-valued function f defined on S, shall be called a subnorm if f(a)> 0 for all 0 6 = a ∈ S, and f(αa) = |α|f(a) for all a ∈ S and α ∈ F. If in addition, S is closed under raising to powers, then a subnorm f shall be called stable if there exists a constant σ> 0 so that f(am) ≤ σ f(a)m for all a ∈ S and m = 1, 2, 3.... The purpose of this paper is to provide an updated account of our study of stable subnorms on subsets of finite-dimensional, power-associative algebras over F. Our goal is to review and extend several of our results in two previous papers, dealing mostly with cont...
International audienceIt was proved that every seminorm with square property on a complex associativ...
In this paper we describe all power-associative algebra structures on a two-dimensional vector space...
We introduce some new invariants for finitely generated varieties V(A). The behavior of these invari...
Let A be a finite-dimensional, power-associative algebra over a field F, either R or C, and let S, a...
Let f be a real-valued function defined on a nonempty subset of an algebra over a field , either o...
In this paper we continue our study of stability properties of subnorms on subsets of finite-dimensi...
Let S be a subset of a finite-dimensional algebra over a field F either R or C so that S is closed u...
AbstractThe purpose of this survey paper is to give a brief review of certain aspects of stability o...
AbstractLet f be a real-valued function defined on a nonempty subset S of an algebra A over a field ...
A seminorm S on an algebra A is called stable if for some constant σ > 0 , S(x^k) ≤ σS(x)^k for all...
The subalgebra membership problem is the problem of deciding if a givenelement belongs to an algebra...
International audienceGiven a central simple algebra with involution over an arbitrary field, étale ...
AbstractWe study the question of whether stability is preserved under the operation of forming a con...
Abstract. We study the question of whether stability is preserved under the operation of forming a c...
Abstract. The Constraint Satisfaction Problem Dichotomy Conjecture of Feder and Vardi [12] has in th...
International audienceIt was proved that every seminorm with square property on a complex associativ...
In this paper we describe all power-associative algebra structures on a two-dimensional vector space...
We introduce some new invariants for finitely generated varieties V(A). The behavior of these invari...
Let A be a finite-dimensional, power-associative algebra over a field F, either R or C, and let S, a...
Let f be a real-valued function defined on a nonempty subset of an algebra over a field , either o...
In this paper we continue our study of stability properties of subnorms on subsets of finite-dimensi...
Let S be a subset of a finite-dimensional algebra over a field F either R or C so that S is closed u...
AbstractThe purpose of this survey paper is to give a brief review of certain aspects of stability o...
AbstractLet f be a real-valued function defined on a nonempty subset S of an algebra A over a field ...
A seminorm S on an algebra A is called stable if for some constant σ > 0 , S(x^k) ≤ σS(x)^k for all...
The subalgebra membership problem is the problem of deciding if a givenelement belongs to an algebra...
International audienceGiven a central simple algebra with involution over an arbitrary field, étale ...
AbstractWe study the question of whether stability is preserved under the operation of forming a con...
Abstract. We study the question of whether stability is preserved under the operation of forming a c...
Abstract. The Constraint Satisfaction Problem Dichotomy Conjecture of Feder and Vardi [12] has in th...
International audienceIt was proved that every seminorm with square property on a complex associativ...
In this paper we describe all power-associative algebra structures on a two-dimensional vector space...
We introduce some new invariants for finitely generated varieties V(A). The behavior of these invari...