On the three-space property for locally convex spaces.
Giorgio Metafune, Vincenzo B. Moscatelli (1986)
Collectanea Mathematica
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Displaying similar documents to “Singly generated ideals of locally convex spaces”
On the three-space property for locally convex spaces.
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We construct an example as announced in the title. We also indicate all right, left and two-sided ideals in this example.
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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.
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