On Holomorphic Mappings with Compact Type Range

被引:0
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作者
A. Jiménez-Vargas
D. Ruiz-Casternado
J. M. Sepulcre
机构
[1] Universidad de Almería,Departamento de Matemáticas
[2] Universidad de Alicante,Departamento de Matemáticas
关键词
Vector-valued holomorphic mapping; Operator ideal; Linearization; Factorization theorems; Schauder’s theorem; 46E10; 46E15; 46G20;
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摘要
Using Mujica’s linearization theorem, we extend to the holomorphic setting some classical characterizations of compact (weakly compact, Rosenthal, Asplund) linear operators between Banach spaces such as the Schauder, Gantmacher and Gantmacher–Nakamura theorems and the Davis–Figiel–Johnson–Pełczynski, Rosenthal and Asplund factorization theorems.
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