An interpolative class of two-Lipschitz mappings of composition type
[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 typ...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/210347 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/210347 |
| Access Level: | acceso abierto |
| Palavra-chave: | Strongly two-Lipschitz p-summing Two-Lipschitz operator ideal Strongly (p, σ)-continuous Pietsch domination theorem |
| Resumo: | [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. |
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