Real-Linear Isometries and Jointly Norm-Additive Maps on Function Algebras
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Títol
Real-Linear Isometries and Jointly Norm-Additive Maps on Function AlgebrasData de publicació
2015Editor
SpringerISSN
1660-5446; 1660-5454Cita bibliogràfica
HOSSEINI, Maliheh; FONT, Juan J. Real-Linear Isometries and Jointly Norm-Additive Maps on Function Algebras. Mediterranean Journal of Mathematics, p. 1-16.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/article/10.1007/s00009-015-0607-2Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
In this paper, we describe into real-linear isometries defined between (not necessarily unital) function algebras and show, based on an example, that this type of isometries behaves differently from surjective real- ... [+]
In this paper, we describe into real-linear isometries defined between (not necessarily unital) function algebras and show, based on an example, that this type of isometries behaves differently from surjective real-linear isometries and from classical linear isometries. Next we introduce jointly norm-additive mappings and apply our results on real-linear isometries to provide a complete description of these mappings when defined between function algebras which are not necessarily unital or uniformly closed. [-]
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Mediterranean Journal of MathematicsDrets d'accés
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