Hamidi, KhaledTallab, Abdelhamid2024-10-162024-10-162024-10-011576-9402https://riunet.upv.es/handle/10251/210347[EN] The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphismidentification of two-Lipschitz operators and Lipschitz operators. After defining and characterizing the adjoint of a two-Lipschitz operator, we prove a Schauder type theorem on the compactness of the adjoint. We study the extension of two-Lipschitz operators from the 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 the cartesian product of two pointed metric spaces admits an extension with the same two-Lipschitz norm under some requirements on domaine spaces.Reconocimiento - No comercial - Compartir igual (by-nc-sa)Strongly two-Lipschitz p-summingTwo-Lipschitz operator idealStrongly (p, σ)-continuousPietsch domination theoremArtículo10.4995/agt.2024.21116Abierto1989-4147