The extension of two-Lipschitz operators
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| dc.contributor.author | Dahia, Elhadj
|
es_ES |
| dc.date.accessioned | 2024-04-26T11:11:35Z | |
| dc.date.available | 2024-04-26T11:11:35Z | |
| dc.date.issued | 2024-04-02 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/203782 | |
| dc.description.abstract | [EN] The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators. After defining and characterize the adjoint of two-Lipschitz operator, we prove a Schauder type theorem on the compactness of the adjoint. We study the extension of two-Lipschitz operators from cartesian product of two complemented subspaces of a Banach space to the cartesian product of whole spaces. Also, we show that every two-Lipschitz functional defined on cartesian product of two pointed metric spaces admits an extension with the same two-Lipschitz norm, under some requirements on domaine spaces. | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | Universitat Politècnica de València | es_ES |
| dc.relation.ispartof | Applied General Topology | es_ES |
| dc.rights | Reconocimiento - No comercial - Compartir igual (by-nc-sa) | es_ES |
| dc.subject | Two-Lipschitz operator | es_ES |
| dc.subject | Compact two-Lipschitz operator | es_ES |
| dc.subject | Extension of two-Lipschitz operator | es_ES |
| dc.title | The extension of two-Lipschitz operators | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.4995/agt.2024.20296 | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Dahia, E. (2024). The extension of two-Lipschitz operators. Applied General Topology. 25(1):47-56. https://doi.org/10.4995/agt.2024.20296 | es_ES |
| dc.description.accrualMethod | OJS | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2024.20296 | es_ES |
| dc.description.upvformatpinicio | 47 | es_ES |
| dc.description.upvformatpfin | 56 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 25 | es_ES |
| dc.description.issue | 1 | es_ES |
| dc.identifier.eissn | 1989-4147 | |
| dc.relation.pasarela | OJS\20296 | es_ES |
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