A new approach on Lipschitz compact operators
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2016Resumen
The notions of Lipschitz-free compact and Lipschitz-free weakly compact operators between metric spaces are introduced. Some nonlinear versions of Schauder's theorem and Gantmacher's theorem on compact and weakly compact linear operators are proved. The Davis-Figiel-Johnson-Pelczynski factorization theorem is stated for Lipschitz-free weakly compact operators.
Palabra/s clave
Lipschitz operator
Lipschitz p-summing operator
Lipschitz p-integral operator
Lipschitz-free Banach space
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