Uniform factorization for compact sets of weakly compact operators

Kristel Mikkor, and Eve Oja. "Uniform factorization for compact sets of weakly compact operators." Studia Mathematica 174.1 (2006): 85-97. <http://eudml.org/doc/284794>.

@article{KristelMikkor2006,
abstract = {We prove uniform factorization results that describe the factorization of compact sets of compact and weakly compact operators via Hölder continuous homeomorphisms having Lipschitz continuous inverses. This yields, in particular, quantitative strengthenings of results of Graves and Ruess on the factorization through $ℓ_\{p\}$-spaces and of Aron, Lindström, Ruess, and Ryan on the factorization through universal spaces of Figiel and Johnson. Our method is based on the isometric version of the Davis-Figiel-Johnson-Pełczyński factorization construction due to Lima, Nygaard, and Oja.},
author = {Kristel Mikkor, Eve Oja},
journal = {Studia Mathematica},
keywords = {Davis-Figiel-Johnson-Pełczyński factorisation of operators; -spaces; space of weakly compact operators},
language = {eng},
number = {1},
pages = {85-97},
title = {Uniform factorization for compact sets of weakly compact operators},
url = {http://eudml.org/doc/284794},
volume = {174},
year = {2006},
}

TY - JOUR
AU - Kristel Mikkor
AU - Eve Oja
TI - Uniform factorization for compact sets of weakly compact operators
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 1
SP - 85
EP - 97
AB - We prove uniform factorization results that describe the factorization of compact sets of compact and weakly compact operators via Hölder continuous homeomorphisms having Lipschitz continuous inverses. This yields, in particular, quantitative strengthenings of results of Graves and Ruess on the factorization through $ℓ_{p}$-spaces and of Aron, Lindström, Ruess, and Ryan on the factorization through universal spaces of Figiel and Johnson. Our method is based on the isometric version of the Davis-Figiel-Johnson-Pełczyński factorization construction due to Lima, Nygaard, and Oja.
LA - eng
KW - Davis-Figiel-Johnson-Pełczyński factorisation of operators; -spaces; space of weakly compact operators
UR - http://eudml.org/doc/284794
ER -