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Local Isometries on Subspaces of Continuous Functions

dc.contributor.authorFont, Juan J.
dc.contributor.authorHosseini, Maliheh
dc.date.accessioned2023-07-17T07:25:37Z
dc.date.available2023-07-17T07:25:37Z
dc.date.issued2023-04
dc.identifier.citationFont, J.J., Hosseini, M. Local Isometries on Subspaces of Continuous Functions. Mediterr. J. Math. 20, 192 (2023). https://doi.org/10.1007/s00009-023-02398-yca_CA
dc.identifier.urihttp://hdl.handle.net/10234/203299
dc.description.abstractIn this paper, we provide a representation of local isometries when defined between certain general subspaces of scalar-valued and vector-valued continuous functions. Based on the description mentioned above, we are able to prove the algebraic reflexivity of the group of isometries of the subspace of absolutely continuous vector-valued functions and of the subspace of continuously differentiable complex-valued functions.ca_CA
dc.format.extent17 p.ca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.relation.isPartOfMediterranean Journal of Mathematics, 2023ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/ca_CA
dc.subjectSpaces of continuous functionsca_CA
dc.subjectlocal isometryca_CA
dc.subjectpeak pointca_CA
dc.subjectsurjective linear isometryca_CA
dc.titleLocal Isometries on Subspaces of Continuous Functionsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1007/s00009-023-02398-y
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttps://link.springer.com/article/10.1007/s00009-023-02398-yca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA
project.funder.nameGobierno de Españaca_CA
oaire.awardNumberPID2019-106529GB-I00ca_CA


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