Ideals in subalgebras of the group algebras
Leonard Yap (1970)
Studia Mathematica
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Leonard Yap (1970)
Studia Mathematica
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Larsen, R. (1971)
Portugaliae 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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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.
Yngve Domar (1962-1963)
Séminaire Lelong. Analyse
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William Dietrich (1975)
Fundamenta Mathematicae
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W. Żelazko (1972)
Studia Mathematica
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Jun, Young Bae, Öztürk, Mehmet Ali, Roh, Eun Hwan (2010)
International Journal of Mathematics and Mathematical Sciences
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Donald Plank (1969)
Fundamenta Mathematicae
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