Add to ORKGAbstract. We characterize (r, w)-nuclear operators acting from a Banach space whose dual has weak type q into a Banach space of weak type p by the asymptotic behaviour of their entropy numbers. 1
In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue ...
AbstractIt is an open problem whether the entropy numbers en(T) of continuous linear operators T: X ...
In the study of hilbertian subspaces of Banach spaces and lower estimates of norms by hilbertian nor...
AbstractWe give the exact order of the dyadic entropy numbers of the identities from lnp to lnr wher...
AbstractWe establish inequalities between entropy numbers and approximation numbers for operators ac...
AbstractLet S be an operator admitting a factorization where D is a diagonal operator and T an (arb...
AbstractWe determine the exact asymptotic behaviour of entropy numbers of diagonal operators from ℓp...
AbstractThe paper deals with the interrelations of approximation numbers and entropy numbers of comp...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
In this paper, we introduce the notion of (uniformly weakly) Banach-compact sets, (uniformly weakly)...
In this work we study entropy numbers of linear operators. We focus on entropy numbers of identities...
AbstractA class of operators is introduced and referred to as nonlinear nuclear operators. As in the...
We determine the asymptotic behavior of the entropy numbers of diagonal operators , , , under mild r...
AbstractLet A be a subset of a type p Banach space E, 1<p⩽2, such that its entropy numbers satisfy (...
AbstractLet Iα: lq(l2jp)→lq(l2j∞) be a diagonal operator assigning to vector-coordinate xj∈l2jp the ...
In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue ...
AbstractIt is an open problem whether the entropy numbers en(T) of continuous linear operators T: X ...
In the study of hilbertian subspaces of Banach spaces and lower estimates of norms by hilbertian nor...
AbstractWe give the exact order of the dyadic entropy numbers of the identities from lnp to lnr wher...
AbstractWe establish inequalities between entropy numbers and approximation numbers for operators ac...
AbstractLet S be an operator admitting a factorization where D is a diagonal operator and T an (arb...
AbstractWe determine the exact asymptotic behaviour of entropy numbers of diagonal operators from ℓp...
AbstractThe paper deals with the interrelations of approximation numbers and entropy numbers of comp...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
In this paper, we introduce the notion of (uniformly weakly) Banach-compact sets, (uniformly weakly)...
In this work we study entropy numbers of linear operators. We focus on entropy numbers of identities...
AbstractA class of operators is introduced and referred to as nonlinear nuclear operators. As in the...
We determine the asymptotic behavior of the entropy numbers of diagonal operators , , , under mild r...
AbstractLet A be a subset of a type p Banach space E, 1<p⩽2, such that its entropy numbers satisfy (...
AbstractLet Iα: lq(l2jp)→lq(l2j∞) be a diagonal operator assigning to vector-coordinate xj∈l2jp the ...
In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue ...
AbstractIt is an open problem whether the entropy numbers en(T) of continuous linear operators T: X ...
In the study of hilbertian subspaces of Banach spaces and lower estimates of norms by hilbertian nor...