Isometries of absolutely continuous function spaces with respect to the sum-norm
Metadades
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INVESTIGACIONMetadades
Títol
Isometries of absolutely continuous function spaces with respect to the sum-normData de publicació
2024-03-26Editor
SpringerISSN
1664-2368; 1664-235XCita bibliogràfica
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/s13324-024-00894-2Tipus de document
info:eu-repo/semantics/bookVersió de l'editorial
https://link.springer.com/article/10.1007/s13324-024-00894-2Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Descripció
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 [-]
Publicat a
Analysis and Mathematical Physics, 2024, vol. 14, no 2Entitat finançadora
Ministerio de Ciencia, Innovación y Universidades | IMU-CDC
Identificador de l'entitat finançadora
http://dx.doi.org/10.13039/501100011033
Codi del projecte o subvenció
MICIU/ICTI2017-2020/PID2019-106529GB-I00
Títol del projecte o subvenció
Álgebras de funciones sobre grupos topológicos
Drets d'accés
© 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
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