Maximal ideals in algebras of vector-valued functions.
Kitchen, J.W., Robbins, D.A. (1996)
International Journal of Mathematics and Mathematical Sciences
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Kitchen, J.W., Robbins, D.A. (1996)
International Journal of Mathematics and Mathematical Sciences
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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.
Jan Čerych (1980)
Commentationes Mathematicae Universitatis Carolinae
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Miguel Cabrera, José Martínez Aroza, Angel Rodríguez Palacios (1988)
Publicacions Matemàtiques
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We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
Andrzej Walendziak (2007)
Mathematica Slovaca
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Young Chan Lee, Hee Sik Kim (1999)
Mathematica Slovaca
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