Approximately normal function algebras which are local
Wesley Kotzé (1980)
Commentationes Mathematicae Universitatis Carolinae
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Wesley Kotzé (1980)
Commentationes Mathematicae Universitatis Carolinae
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Osamu Hatori, Takeshi Miura (2013)
Open Mathematics
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We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.
Bruno Kramm (1980)
Studia Mathematica
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Jürgen Voigt (1984)
Studia Mathematica
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Leonid Brevdo (1988)
Studia Mathematica
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Andrzej Walendziak (2007)
Mathematica Slovaca
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Borzooei, R.A., Dudek, W.A., Koohestani, N. (2006)
International Journal of Mathematics and Mathematical Sciences
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Zbigniew Leszczyński (2004)
Colloquium Mathematicae
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Let A be a finite-dimensional algebra over an algebraically closed field. The algebra A is called locally hereditary if any local left ideal of A is projective. We give criteria, in terms of the Tits quadratic form, for a locally hereditary algebra to be of tame representation type. Moreover, the description of all representation-tame locally hereditary algebras is completed.