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Tensor products of function algebras

Published online by Cambridge University Press:  17 April 2009

Athanasios Kyriazis
Athanasios Kyriazis
Affiliation:
Mathematical Institute, University of Athens, 57, Solonos Street, Athens 106 79, Greece
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For appropriate topclogical spaces X, Y, Z the algebra Cc(X xZY) of ℂ-valued continuous functions on the fibre product X xZY in the compact-open topology, describes the completed biprojective Cc(Z)-tensor product of Cc(X), Cc(Y).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 417 - 423
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Dugundji, J., Topology, (Allyn and Bacon, Boston, 1970).Google Scholar
[2]Horvath, J., Topological vector spaces and distributions, I, (Addison-Wesley, Reading. Mass., 1966).Google Scholar
[3]Jarchow, H., Locally convex spaces, (B.G. Teubner, Stuttgart, 1981).CrossRefGoogle Scholar
[4]Kaup, L. and Kaup, B., Holomorphic functions of several variables, (Walter de Gruyter, Berlin, 1983)CrossRefGoogle Scholar
[5]Kyriazis, A., “On the spectra of topological /A-tensor product /A-algebras”, Yokohama Math. J. 31 (1983), 47–65.Google Scholar
[6]Mallios, A., Topological algebras. Selected topics, (North-Holland, Amsterdam, 1986).Google Scholar
[7]Mallios, A., On functional representations of topological a1gebras”, J. Funct. Anal. 6 (1970), 468–480.CrossRefGoogle Scholar
[8]Solian, A., Theory of modules, (J. Wiley and Sons, N.Y., 1977).Google Scholar