References
Dugundji, J.: Topology. Boston: Allyn and Bacon, Inc. 1966.
Gillman, L., and M. Jerison: Rings of continuous functions. Princeton: Van Nostrand 1960.
Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires. Memoirs Amer. Math. Soc.16 (1955).
Hausner, A.: Ideals in a certain Banach algebra. Proc. Amer. Math. Soc.8, 246–249 (1957).
Kelley, J.: General topology. Princeton: Van Nostrand 1955.
Mallios, A.: On the spectrum of a topological tensor product of locally convex algebras. Math. Ann.154, 171–180 (1964).
—— Heredity of tensor products of topological algebras. Math. Ann.162, 246–257 (1966).
Michael, E.: Locally multiplicatively-convex topological algebras. Memoirs Amer. Math. Soc.11 (1952).
Rudin, W.: Real and complex analysis. New York: McGraw-Hill 1966.
Simmons, G. F.: Topology and modern analysis. New York: McGraw-Hill 1963.
Tomiyama, J.: Tensor products of commutative Banach algebras. Tohoku Math. J.12, 147–154 (1960).
Warner, S.: The topology of compact convergence on continuous function spaces. Duke Math. J.25, 265–282 (1958).
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Dietrich, W.E. The maximal ideal space of the topological algebraC(X, E). Math. Ann. 183, 201–212 (1969). https://doi.org/10.1007/BF01351380
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DOI: https://doi.org/10.1007/BF01351380