Diameter preserving mappings between function algebras
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comunitat-uji-handle3:10234/8635
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Diameter preserving mappings between function algebrasData de publicació
2011Editor
Mathematical Society of the Republic of ChinaISSN
1027-5487; 2224-6851Cita bibliogràfica
Taiwanese Journal of Mathematics (2011), vol. 15, n. 4, p. 1487-1495Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/8Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
In this paper we study the behaviour of linear diameter preserving mappings when defined between subalgebras of continuous functions. Namely, we obtain a representation of such mappings as the sum of a weighted ... [+]
In this paper we study the behaviour of linear diameter preserving mappings when defined between subalgebras of continuous functions. Namely, we obtain a representation of such mappings as the sum of a weighted composition operator and a linear functional on, at least, the Choquet boundaries of the algebras under consideration. In particular, we give a complete description when we consider several classical function algebras. [-]
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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