A note on permanently singular elements in topological algebras
Edward Beckenstein, Lawrence Narici, Charles Suffel (1974)
Colloquium Mathematicae
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Edward Beckenstein, Lawrence Narici, Charles Suffel (1974)
Colloquium Mathematicae
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W. Żelazko (1966)
Studia Mathematica
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W. Żelazko (1996)
Studia Mathematica
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We construct two examples of complete multiplicatively convex algebras with the property that all their maximal commutative subalgebras and consequently all commutative closed subalgebras are Banach algebras. One of them is non-metrizable and the other is metrizable and non-Banach. This solves Problems 12-16 and 22-24 of [7].
W. Żelazko (1983)
Studia Mathematica
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Tsoy-Wo Ma (1972)
Fundamenta Mathematicae
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Hugo Peimbert, Wiesław Żelazko (1985)
Studia Mathematica
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Mark J. Nielsen (1989)
Mathematische Annalen
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W. Żelazko (1960)
Studia Mathematica
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L. Oubbi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
V. Müller (1991)
Studia Mathematica
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Anastasios Mallios (1972)
Mémoires de la Société Mathématique de France
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