We extend the measure of non compactness notion to the polynomial setting by means of Approximation, Kolmogorov and Gelfand numbers, that are introduced for homogeneous polynomials. As an application, we study diagonal polynomials between sequence spaces
We investigate compactness of composition operators on the Hardy space of Dirichlet series induced b...
In this paper we formulate a criterion for relative compactness in the space of functions regulated ...
In this article we introduce the concept of a completely bounded polynomial between operator spaces,...
AbstractAs foundation of polynomial approximation, uniform convergence is replaced with basic nonsta...
Let F={f1,..., fj} and let K be a closed basic set in Rn given by the polynomial inequalities f1 \ 0...
AbstractThis paper shows that, contrary to the case of linear operators, absolutely summing homogene...
summary:We show that a Banach space $E$ has the weakly compact approximation property if and only i...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
We prove here some polynomial approximation theorems, somewhat related to the Szasz-Mfintz theorem, ...
A generalized approximation scheme via a sequence (p(,n)) of properties on a Banach space X is intro...
Abstract. For a compact set K which is the closure of a Jordan domain, the Faber operator provides a...
Abstract. We obtain quantitative bounds in a special case of the polynomial Sze-merédi theorem of B...
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
The measure of non-compactness is estimated from below for various operators, including the Hardy-Li...
Abstract. Let G ⊂ C be a bounded simply connected domain with boundary Γ and let E ⊂ G be a regular ...
We investigate compactness of composition operators on the Hardy space of Dirichlet series induced b...
In this paper we formulate a criterion for relative compactness in the space of functions regulated ...
In this article we introduce the concept of a completely bounded polynomial between operator spaces,...
AbstractAs foundation of polynomial approximation, uniform convergence is replaced with basic nonsta...
Let F={f1,..., fj} and let K be a closed basic set in Rn given by the polynomial inequalities f1 \ 0...
AbstractThis paper shows that, contrary to the case of linear operators, absolutely summing homogene...
summary:We show that a Banach space $E$ has the weakly compact approximation property if and only i...
For a compact set E with connected complement, let A(E) bethe uniform algebra of functions continuou...
We prove here some polynomial approximation theorems, somewhat related to the Szasz-Mfintz theorem, ...
A generalized approximation scheme via a sequence (p(,n)) of properties on a Banach space X is intro...
Abstract. For a compact set K which is the closure of a Jordan domain, the Faber operator provides a...
Abstract. We obtain quantitative bounds in a special case of the polynomial Sze-merédi theorem of B...
AbstractLet 1≤p<∞. We show that ‘positive polynomial approximation property’ holds in the space Lp(R...
The measure of non-compactness is estimated from below for various operators, including the Hardy-Li...
Abstract. Let G ⊂ C be a bounded simply connected domain with boundary Γ and let E ⊂ G be a regular ...
We investigate compactness of composition operators on the Hardy space of Dirichlet series induced b...
In this paper we formulate a criterion for relative compactness in the space of functions regulated ...
In this article we introduce the concept of a completely bounded polynomial between operator spaces,...
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