On the ideal structure of algebras of staralgebra valued functions
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 by Jorma Arhippainen PDF
 Proc. Amer. Math. Soc. 123 (1995), 381391 Request permission
Abstract:
The ideal structure of the algebra $C(X,A)$ has been studied in many papers under various topological assumptions on the space X and the algebra A. In this paper we shall study the case where X is a completely regular topological space and A is a locally convex star algebra. In such case the structure of closed (proper) ideals can be described not only by using points of X and some family of closed ideals of A, as usual, but also by using points of the carrier space $\Delta (A)$ of A and some family of closed ideals of $C(X,A)$ depending on those points and also by using different kind of slice ideals of $C(X,A)$.References

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Additional Information
 © Copyright 1995 American Mathematical Society
 Journal: Proc. Amer. Math. Soc. 123 (1995), 381391
 MSC: Primary 46J20; Secondary 46K05
 DOI: https://doi.org/10.1090/S00029939199512151983
 MathSciNet review: 1215198