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(p, q)-Compactness in spaces of holomorphic mappings
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.contributor.author | Ruiz Casternado, David | |
dc.date.accessioned | 2024-05-22T08:30:19Z | |
dc.date.available | 2024-05-22T08:30:19Z | |
dc.date.issued | 2024-05-18 | |
dc.identifier.issn | 2391-5455 | |
dc.identifier.uri | http://hdl.handle.net/10835/16500 | |
dc.description.abstract | Based on the concept of (p, q)-compact operator for p ∈ [1, ∞] and q ∈ [1, p*], we introduce and study the notion of (p, q)-compact holomorphic mapping between Banach spaces. We prove that the space formed by such mappings is a surjective pq∕(p + q)-Banach bounded-holomorphic ideal that can be generated by composition with the ideal of (p, q)-compact operators. In addition, we study Mujica’s linearization of such mappings, its relation with the (u*v* + tv* + tu*)∕tu*v*-Banach bounded-holomorphic composition ideal of the (t, u, v)-nuclear holomorphic mappings for t, u, v ∈ [1, ∞], its holomorphic transposition via the injective hull of the ideal of (p, q*, 1)-nuclear operators, the Möbius invariance of (p, q)-compact holomorphic map- pings on D, and its full compact factorization through a compact holomorphic mapping, a (p, q)-compact operator, and a compact operator. | 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 | Vector-valued holomorphic function | es_ES |
dc.subject | linearization | es_ES |
dc.subject | Factorization theorems | es_ES |
dc.subject | (p, q)-Compact operator | es_ES |
dc.subject | (p, q)-Compact holomorphic mapping | es_ES |
dc.subject | (t, u, v)-Nuclear holomorphic mapping | es_ES |
dc.title | (p, q)-Compactness in spaces of holomorphic mappings | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |