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The extension of two-Lipschitz operators

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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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