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 -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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-7,
author = {Kristel Mikkor and Eve Oja},
title = {Uniform factorization for compact sets of weakly compact operators},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {85-97},
zbl = {1103.46012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-7}
}
Kristel Mikkor; Eve Oja. Uniform factorization for compact sets of weakly compact operators. Studia Mathematica, Tome 173 (2006) pp. 85-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-7/