Entropy numbers of general diagonal operators.

Kühn, Thomas. "Entropy numbers of general diagonal operators.." Revista Matemática Complutense 18.2 (2005): 479-491. <http://eudml.org/doc/44542>.

@article{Kühn2005,
abstract = {We determine the asymptotic behavior of the entropy numbers of diagonal operators D: lp → lq, (xk) → (skxk), 0 &lt; p,q ≤ ∞, under mild regularity and decay conditions on the generating sequence (σk). Our results extend the known estimates for polynomial and logarithmic diagonals (σk). Moreover, we also consider some exotic intermediate examples like (σk)=exp(-√log k).},
author = {Kühn, Thomas},
journal = {Revista Matemática Complutense},
keywords = {Algebra de operadores; Operadores compactos; Problemas de autovalores; Operadores diagonales; Números de entropía; entropy numbers; diagonal operators; -spaces},
language = {eng},
number = {2},
pages = {479-491},
title = {Entropy numbers of general diagonal operators.},
url = {http://eudml.org/doc/44542},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Kühn, Thomas
TI - Entropy numbers of general diagonal operators.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 2
SP - 479
EP - 491
AB - We determine the asymptotic behavior of the entropy numbers of diagonal operators D: lp → lq, (xk) → (skxk), 0 &lt; p,q ≤ ∞, under mild regularity and decay conditions on the generating sequence (σk). Our results extend the known estimates for polynomial and logarithmic diagonals (σk). Moreover, we also consider some exotic intermediate examples like (σk)=exp(-√log k).
LA - eng
KW - Algebra de operadores; Operadores compactos; Problemas de autovalores; Operadores diagonales; Números de entropía; entropy numbers; diagonal operators; -spaces
UR - http://eudml.org/doc/44542
ER -