On holomorphic mappings with compact type range

Autor: Jiménez-Vargas, A., Ruiz-Casternado, D., Sepulcre, J. M.
Rok vydání: 2022
Předmět:
Zdroj: Bull. Malays. Math. Sci. Soc. 46 (2023), no. 1, 20
Druh dokumentu: Working Paper
DOI: 10.1007/s40840-022-01415-9
Popis: 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-Pelczynski, Rosenthal and Asplund factorization theorems.
Comment: 11 pages
Databáze: arXiv
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