Geodesic
A Characterization of the Algebra of Functions Vanishing at Infinity
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 751-754

Voir la notice de l'article provenant de la source Cambridge University Press

1. In this paper, X will always denote a locally compact Hausdorff space, C0(X) the algebra of all complex-valued continuous functions vanishing at infinity on X and B(X) the algebra of all bounded continuous complex-valued functions defined on X. If X is compact, C0(X) is identical to B (X) and all the results of this paper are obvious. Therefore, we will assume at the outset that X is not compact. If A represents an algebra of functions, A R will denote the algebra of all real-valued functions in A. 
Mullins, Robert E. A Characterization of the Algebra of Functions Vanishing at Infinity. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 751-754. doi: 10.4153/CJM-1969-085-1
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[1] 1. Kelley, J. L., General topology (Van Nostrand, New York, 1955). Google Scholar

[2] 2. Mullins, R. E., Some results on algebras of functions, Ph.D. Thesis, Northwestern University, Evanston, Illinois, 1965. Google Scholar

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