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Displaying similar documents to “A-realcompact spaces.”

Polar decomposition in Rickart C*-algebras.

Dmitry Goldstein (1995)

Publicacions Matemàtiques

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A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. Equivalently, matrix algebras over a Rickart C*-algebra are also Rickart C*-algebras.

Homomorphisms on some function algebras.

M.ª Isabel Garrido, Javier Gómez Gil, Jesús Angel Jaramillo (1992)

Extracta Mathematicae

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Suppose that A is an algebra of continuous real functions defined on a topological space X. We shall be concerned here with the problem as to whether every nonzero algebra homomorphism φ: A → R is given by evaluation at some point of X, in the sense that there exists some a in X such that φ(f) = f(a) for every f in A. The problem goes back to the work of Michael [19], motivated by the question of automatic continuity of homomorphisms in a symmetric *-algebra. More recently, the problem...