Examples of infinitely generated function algebras
P. J. de Paepe (2003)
Czechoslovak Mathematical Journal
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Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
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P. J. de Paepe (2003)
Czechoslovak Mathematical Journal
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Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
Jan Čerych (1978)
Commentationes Mathematicae Universitatis Carolinae
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Maliheh Hosseini, Fereshteh Sady (2010)
Open Mathematics
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Let A and B be Banach function algebras on compact Hausdorff spaces X and Y and let ‖.‖X and ‖.‖Y denote the supremum norms on X and Y, respectively. We first establish a result concerning a surjective map T between particular subsets of the uniform closures of A and B, preserving multiplicatively the norm, i.e. ‖Tf Tg‖Y = ‖fg‖X, for certain elements f and g in the domain. Then we show that if α ∈ ℂ 0 and T: A → B is a surjective, not necessarily linear, map satisfying ‖fg + α‖X = ‖Tf...
Jana Mervartová (1983)
Archivum Mathematicum
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