Academic Journal
On Composition Ideals and Dual Ideals of Bounded Holomorphic Mappings
| العنوان: | On Composition Ideals and Dual Ideals of Bounded Holomorphic Mappings |
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| المؤلفون: | Cabrera Padilla, María De Gádor, Jiménez Vargas, Antonio, Ruiz Casternado, David |
| سنة النشر: | 2023 |
| المجموعة: | Universidad de Almería: Repositorio Institucional |
| مصطلحات موضوعية: | Holomorphic mapping, Operator ideal, Linearization, Factorization theorems |
| الوصف: | Applying a linearization theorem due to Mujica (Trans Am Math Soc 324:867–887, 1991), we study the ideals of bounded holomorphic mappings I ◦H∞ generated by composition with an operator ideal I. The bounded-holomorphic dual ideal of I is introduced and its elements are characterized as those that admit a factorization through Idual. For complex Banach spaces E and F, we also analyze new ideals of bounded holomorphic mappings from an open subset U ⊆ E to F such as pintegral holomorphic mappings and p-nuclear holomorphic mappings with 1 ≤ p < ∞. We prove that every p-integral (p-nuclear) holomorphic mapping from U to F has relatively weakly compact (compact) range. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 1422-6383 |
| Relation: | http://hdl.handle.net/10835/15143; https://doi.org/10.1007/s00025-023-01868-9 |
| DOI: | 10.1007/s00025-023-01868-9 |
| الاتاحة: | http://hdl.handle.net/10835/15143 https://doi.org/10.1007/s00025-023-01868-9 |
| Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.4063EFD0 |
| قاعدة البيانات: | BASE |
| تدمد: | 14226383 |
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| DOI: | 10.1007/s00025-023-01868-9 |