A Banach-Stone Theorem for completely regular spaces
Shatery, Hamid Reza ; Zafarani, Jafar
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 555-564 / Harvested from Project Euclid
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In this paper, we study some Banach algebras with this property that each linear isometry between them induces a Banach algebra isometry. We obtain a Banach-Stone type theorem between Baire functions defined on completely regular spaces. As a consequence, a similar result for the space of continuous functions is deduced.
Publié le : 2007-09-14
Classification:  Banach algebras,  Completely regular spaces,  Banach-Stone theorem,  Baire functions,  Borel functions,  46B04,  46E15,  46J10,  54C35 
@article{1190994218,
     author = {Shatery, Hamid Reza and Zafarani, Jafar},
     title = {A Banach-Stone Theorem for completely regular spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 555-564},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190994218}
}

Shatery, Hamid Reza; Zafarani, Jafar. A Banach-Stone Theorem for completely regular spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  555-564. http://gdmltest.u-ga.fr/item/1190994218/