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On Composition Ideals and Dual Ideals of Bounded Holomorphic Mappings
dc.contributor.author | Cabrera Padilla, María De Gádor | |
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.contributor.author | Ruiz Casternado, David | |
dc.date.accessioned | 2024-01-12T18:36:31Z | |
dc.date.available | 2024-01-12T18:36:31Z | |
dc.date.issued | 2023-03-19 | |
dc.identifier.issn | 1422-6383 | |
dc.identifier.uri | http://hdl.handle.net/10835/15143 | |
dc.description.abstract | 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. | es_ES |
dc.language.iso | en | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Holomorphic mapping | es_ES |
dc.subject | Operator ideal | es_ES |
dc.subject | Linearization | es_ES |
dc.subject | Factorization theorems | es_ES |
dc.title | On Composition Ideals and Dual Ideals of Bounded Holomorphic Mappings | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | https://doi.org/10.1007/s00025-023-01868-9 |