Real Gelfand-Mazur algebras.
Panova, Olga (2006)
Portugaliae Mathematica. Nova Série
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Panova, Olga (2006)
Portugaliae Mathematica. Nova Série
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Abel, Mati, Panova, Olga (2003)
International Journal of Mathematics and Mathematical Sciences
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Abel, Mart, Abel, Mati (2006)
International Journal of Mathematics and Mathematical Sciences
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Mati Abel, Krzysztof Jarosz (2005)
Banach Center Publications
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We characterize unital topological algebras in which all maximal two-sided ideals are closed.
Jorma Arhippainen (1995)
Publicacions Matemàtiques
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Let A be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family Q = {q|λ ∈ Λ} of square preserving r-homogeneous seminorms (r ∈ (0, 1]). We shall show that (A, T(Q)) is a locally m-convex algebra. Furthermore we shall show that A is commutative.
Arhippainen, Jorma (1999)
International Journal of Mathematics and Mathematical Sciences
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A. Kokk, W. Żelazko (1995)
Studia Mathematica
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Let X be a real or complex vector space. We show that the maximal p-convex topology makes X a complete Hausdorff topological vector space. If X has an uncountable dimension, then different p give different topologies. However, if the dimension of X is at most countable, then all these topologies coincide. This leads to an example of a complete locally pseudoconvex space X that is not locally convex, but all of whose separable subspaces are locally convex. We apply these results to topological...
Anastasios Mallios (1972)
Mémoires de la Société Mathématique de France
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W. Żelazko (1996)
Studia Mathematica
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We construct a complete multiplicatively pseudoconvex algebra with the property announced in the title. This solves Problem 25 of [6].
Maria Fragoulopoulou (1992)
Studia Mathematica
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A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
W. Żelazko (1987)
Studia Mathematica
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W. Żelazko (1963)
Studia Mathematica
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