# Entropy numbers of general diagonal operators.

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 2, page 479-491
- ISSN: 1139-1138

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topKühn, 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 < 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 < 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 -

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