AbstractWe provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of the form ℓ1(Γ). The first polynomial P has both separable and nonseparable maximal zero subspaces. The second polynomial P has the property that while the index-set Γ is not countable, all zero subspaces of P are separable
We consider a generalization of the symmetric polynomials and we give a sufficient condition in orde...
We give various constructions of which the most significant is a continuous scalar-valued 2-polynomi...
AbstractGiven a polynomial P(X1,…,XN)∈R[X], we calculate a subspace Gp of the linear space 〈X〉 gener...
AbstractWe provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of t...
Let E be a real Banach space. We show that either E admits a positive definite 2-homogeneous polynom...
A survey of general results about linear subspaces in zeros of polynomials onreal and complex Banach...
We construct non-separable subspaces in the kernel of quadratic functional in some classes of comple...
AbstractFor a compact Hausdorff topological space K, we show that the function space C(K) must satis...
In this paper we survey some recent results concerning separating polynomials on real Banach spaces....
We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneo...
We study the uniqueness of norm-preserving extension of n-homogeneous polynomials in Banach spaces. ...
Este trabalho aborda principalmente dois tópicos em Análise Funcional. No primeiro tópico, estudamo...
AbstractLetXbe a Banach space whose dualX* has typep∈(1,2]. Ifmis an integer greater thanp/(p−1) and...
We investigate the problem of the uniqueness of the extension of n-homogeneous polynomials in Banach...
summary:We present simple proofs that spaces of homogeneous polynomials on $L_{p}[0,1]$ and $\ell _{...
We consider a generalization of the symmetric polynomials and we give a sufficient condition in orde...
We give various constructions of which the most significant is a continuous scalar-valued 2-polynomi...
AbstractGiven a polynomial P(X1,…,XN)∈R[X], we calculate a subspace Gp of the linear space 〈X〉 gener...
AbstractWe provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of t...
Let E be a real Banach space. We show that either E admits a positive definite 2-homogeneous polynom...
A survey of general results about linear subspaces in zeros of polynomials onreal and complex Banach...
We construct non-separable subspaces in the kernel of quadratic functional in some classes of comple...
AbstractFor a compact Hausdorff topological space K, we show that the function space C(K) must satis...
In this paper we survey some recent results concerning separating polynomials on real Banach spaces....
We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneo...
We study the uniqueness of norm-preserving extension of n-homogeneous polynomials in Banach spaces. ...
Este trabalho aborda principalmente dois tópicos em Análise Funcional. No primeiro tópico, estudamo...
AbstractLetXbe a Banach space whose dualX* has typep∈(1,2]. Ifmis an integer greater thanp/(p−1) and...
We investigate the problem of the uniqueness of the extension of n-homogeneous polynomials in Banach...
summary:We present simple proofs that spaces of homogeneous polynomials on $L_{p}[0,1]$ and $\ell _{...
We consider a generalization of the symmetric polynomials and we give a sufficient condition in orde...
We give various constructions of which the most significant is a continuous scalar-valued 2-polynomi...
AbstractGiven a polynomial P(X1,…,XN)∈R[X], we calculate a subspace Gp of the linear space 〈X〉 gener...