Geodesic
Uniform factorization for compact sets of weakly compact operators
Kristel Mikkor 1   ; Eve Oja 1
1 Faculty of Mathematics and Computer Science Tartu University J. Liivi 2 EE-50409 Tartu, Estonia
Studia Mathematica, Tome 174 (2006) no. 1, pp. 85-97 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\ell _p$-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.
DOI : 10.4064/sm174-1-7
Keywords: prove uniform factorization results describe factorization compact sets compact weakly compact operators via lder continuous homeomorphisms having lipschitz continuous inverses yields particular quantitative strengthenings results graves ruess factorization through ell p spaces aron lindstr ruess ryan factorization through universal spaces figiel johnson method based isometric version davis figiel johnson czy ski factorization construction due lima nygaard oja

Kristel Mikkor  1   ; Eve Oja  1

1 Faculty of Mathematics and Computer Science Tartu University J. Liivi 2 EE-50409 Tartu, Estonia 
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Kristel Mikkor; Eve Oja. Uniform factorization for compact sets of
 weakly compact operators. Studia Mathematica, Tome 174 (2006) no. 1, pp. 85-97. doi: 10.4064/sm174-1-7

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