Isometries of absolutely continuous function spaces with respect to the sum-norm
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Isometries of absolutely continuous function spaces with respect to the sum-normFecha de publicación
2024-03-26Editor
SpringerISSN
1664-2368; 1664-235XCita bibliográfica
Hosseini, M., Font, J.J. Isometries of absolutely continuous function spaces with respect to the sum-norm. Anal.Math.Phys. 14, 36 (2024). https://doi.org/10.1007/s13324-024-00894-2Tipo de documento
info:eu-repo/semantics/bookVersión de la editorial
https://link.springer.com/article/10.1007/s13324-024-00894-2Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
In this paper we give a complete description of surjective linear isometries between Banach spaces of absolutely continuous functions on arbitrary (not necessarily compact) subsets of the real line with respect to the ... [+]
In this paper we give a complete description of surjective linear isometries between Banach spaces of absolutely continuous functions on arbitrary (not necessarily compact) subsets of the real line with respect to the sum-norm. We also use this description to study approximate local isometries and approximate 2-local isometries on these spaces. In particular, we present generalizations of all known results concerning such isometries, and obtain the reflexivity and 2-reflexivity of the isometry group of absolutely continuous function spaces in a noncompact framework. [-]
Descripción
This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, ... [+]
This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s13324-024-00894-2 [-]
Publicado en
Analysis and Mathematical Physics, 2024, vol. 14, no 2Entidad financiadora
Ministerio de Ciencia, Innovación y Universidades | IMU-CDC
Identificador de la entidad financiadora
http://dx.doi.org/10.13039/501100011033
Código del proyecto o subvención
MICIU/ICTI2017-2020/PID2019-106529GB-I00
Título del proyecto o subvención
Álgebras de funciones sobre grupos topológicos
Derechos de acceso
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/embargoedAccess
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/embargoedAccess
Aparece en las colecciones
- MAT_Articles [765]