On the summability of nonlinear mappings

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dc.contributor.authorRamdhan, Dif
dc.contributor.authorSupervisor: Rachid, Yahi
dc.date.accessioned2025-07-07T08:35:08Z
dc.date.available2025-07-07T08:35:08Z
dc.date.issued2025-06-15
dc.description.abstractThis work focuses on two examples of nonlinear operator ideals: the ideal of Lipschitz p summing operators and the ideal of p-summing weighted holomorphic mappings. The First one was introduced by Farmer and Johnson in 2009 , and the second one by M. G. Cabrera Padilla, A. Jiménez-Vargas and A. Keten Çopurin 2024 . In each category, we establish the corresponding Pietsch Domination and Factorization theorems. Finally, by equipping a suitable tensor product with an appropriate Chevet–Saphar–type norm, we identify the dual of the space of p-summing weighted holomorphic mappings.
dc.identifier.urihttps://repository.univ-msila.dz/handle/123456789/46660
dc.language.isoen
dc.publisherMohamed Boudiaf University of M'sila
dc.subjectp-summing operators
dc.subjectLipschitz p-summing operators
dc.subjectWeighted holomorphic mappings
dc.subjectPietsch Domination and Factorization theorems
dc.titleOn the summability of nonlinear mappings
dc.typeThesis

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