We determine the asymptotic behavior of the entropy numbers of diagonal operators , , , under mild regularity and decay conditions on the generating sequence . Our results extend the known estimates for polynomial and logarithmic diagonals . Moreover, we also consider some exotic intermediate examples like
AbstractThe behaviour of the entropy numbers ek(id:lnp→lnq), 0<p<q⩽∞, is well known (up to multiplic...
This paper offers sufficient conditions for the Miller–Madow estimator and the jackknife estim...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
AbstractWe determine the exact asymptotic behaviour of entropy numbers of diagonal operators from ℓp...
We determine the asymptotic behavior of the entropy numbers of diagonal operators D : `p ! `q, (xk) ...
AbstractLet Iα: lq(l2jp)→lq(l2j∞) be a diagonal operator assigning to vector-coordinate xj∈l2jp the ...
AbstractWe give the exact order of the dyadic entropy numbers of the identities from lnp to lnr wher...
In this work we study entropy numbers of linear operators. We focus on entropy numbers of identities...
International audience—We study entropy rates of random sequences for general entropy functionals in...
AbstractIt is an open problem whether the entropy numbers en(T) of continuous linear operators T: X ...
A teoria de entropia foi introduzida por Kolmogorov por volta de 1930. Desde então, muitos trabalhos...
Abstract. We characterize (r, w)-nuclear operators acting from a Banach space whose dual has weak ty...
AbstractLet S be an operator admitting a factorization where D is a diagonal operator and T an (arb...
AbstractThis is a brief account on some results and methods of the asymptotic theory dealing with th...
The diagonal entropy was introduced as a good entropy candidate especially for isolated quantum syst...
AbstractThe behaviour of the entropy numbers ek(id:lnp→lnq), 0<p<q⩽∞, is well known (up to multiplic...
This paper offers sufficient conditions for the Miller–Madow estimator and the jackknife estim...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
AbstractWe determine the exact asymptotic behaviour of entropy numbers of diagonal operators from ℓp...
We determine the asymptotic behavior of the entropy numbers of diagonal operators D : `p ! `q, (xk) ...
AbstractLet Iα: lq(l2jp)→lq(l2j∞) be a diagonal operator assigning to vector-coordinate xj∈l2jp the ...
AbstractWe give the exact order of the dyadic entropy numbers of the identities from lnp to lnr wher...
In this work we study entropy numbers of linear operators. We focus on entropy numbers of identities...
International audience—We study entropy rates of random sequences for general entropy functionals in...
AbstractIt is an open problem whether the entropy numbers en(T) of continuous linear operators T: X ...
A teoria de entropia foi introduzida por Kolmogorov por volta de 1930. Desde então, muitos trabalhos...
Abstract. We characterize (r, w)-nuclear operators acting from a Banach space whose dual has weak ty...
AbstractLet S be an operator admitting a factorization where D is a diagonal operator and T an (arb...
AbstractThis is a brief account on some results and methods of the asymptotic theory dealing with th...
The diagonal entropy was introduced as a good entropy candidate especially for isolated quantum syst...
AbstractThe behaviour of the entropy numbers ek(id:lnp→lnq), 0<p<q⩽∞, is well known (up to multiplic...
This paper offers sufficient conditions for the Miller–Madow estimator and the jackknife estim...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...