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On holomorphic mappings with relatively p-compact range
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.date.accessioned | 2024-05-22T08:28:32Z | |
dc.date.available | 2024-05-22T08:28:32Z | |
dc.date.issued | 2023-04-06 | |
dc.identifier.citation | Filomat 37:24 (2023), 8067–8077 | es_ES |
dc.identifier.issn | 0354-5180 | |
dc.identifier.uri | http://hdl.handle.net/10835/16499 | |
dc.description.abstract | Related to the concept of p-compact operators with p in [1,∞] introduced by Sinha and Karn [20], this paper deals with the space H^∞_{K_p}(U,F) of all Banach-valued holomorphic mappings on an open subset U of a complex Banach space E whose ranges are relatively p-compact subsets of F. We characterize such holomorphic mappings as those whose Mujica’s linearisations on the canonical predual of H^∞(U) are p-compact operators. This fact allows us to make a complete study of them. We show that H^∞_{K_p} is a surjective Banach ideal of bounded holomorphic mappings which is generated by composition with the ideal of p-compact operators and contains the Banach ideal of all right p-nuclear holomorphic mappings. We also characterize holomorphic mappings with relatively p-compact ranges as those bounded holomorphic mappings which factorize through a quotient space of l_{p*} or as those whose transposes are quasi p-nuclear operators (respectively, factor through a closed subspace of l_p). | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | Faculty of Sciences and Mathematics, University of Nis, Serbia | es_ES |
dc.rights | Attribution-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nd/4.0/ | * |
dc.subject | Vector-valued holomorphic mapping | es_ES |
dc.subject | p-compact set | es_ES |
dc.subject | p-compact operator | es_ES |
dc.subject | locally p-compact holomorphic mapping | es_ES |
dc.title | On holomorphic mappings with relatively p-compact range | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://doi.org/10.2298/FIL2324067J | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MCIN/AEI/10.13039/501100011033 | es_ES |