A characterization of homomorphisms in certain Banach involution algebras
George Maltese, Regina Wille-Fier (1988)
Studia Mathematica
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George Maltese, Regina Wille-Fier (1988)
Studia Mathematica
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Jorma Arhippainen (1992)
Studia Mathematica
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Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
Kitchen, J.W., Robbins, D.A. (1996)
International Journal of Mathematics and Mathematical Sciences
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F. Montalvo, Antonio A. Pulgarín, Batildo Requejo Fernández (2006)
Czechoslovak Mathematical Journal
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Let be a uniformly closed and locally m-convex -algebra. We obtain internal conditions on stated in terms of its closed ideals for to be isomorphic and homeomorphic to , the -algebra of all the real continuous functions on a normal topological space endowed with the compact convergence topology.
W. Żelazko (2000)
Studia Mathematica
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Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra
Larsen, R. (1971)
Portugaliae mathematica
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W. Żelazko (1983)
Studia Mathematica
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Leonard Yap (1970)
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Vladimir Müller (1991)
Collectanea Mathematica
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An ideal in a commutative topological algebra with separately continuous multiplication is non-removable if and only if it consists locally of joint topological divisors of zero. Also, any family of non-removable ideals can be removed simultanously.