Literature Cited
A. Mallios, Topological Algebras, North-Holland, Amsterdam (1986).
N. P. Zimakov, “Regular representations of topological algebras,” Moscow (1981); dep. at VINITI, No. 379-81, pp. 1–11.
N. P. Zimakov, “On the product of bounded sets in locally convex algebras,” in: Mathematical Analysis and Differential Equations [in Russian], Tashkent (1984), pp. 41–43.
O. V. Lopushanskii, “Continuity properties of multiplication in topological algebras,” Matematicheskie Metody i Fiz.-Mat. Polya, No. 1, 26–29 (1985).
H. H. Schaefer, Topological Vector Spaces, Macmillan, New York (1966).
Ya. V. Radyno, Linear Equations and Bornology [in Russian], Izd. BGU, Minsk (1982).
L. Waelbrock, Topological Vector Spaces and Algebras, Springer, Berlin (1971).
V. V. Zharinov, “Compact families of locally compact spaces and FS and DFS spaces,” Usp. Mat. Nauk,34, No. 4, 97–131.
V. S. Vladimirov, Generalized Functions in Mathematical Physics [in Russian], Nauka, Moscow (1979).
Additional information
Lvov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3 pp. 89–96, May–June, 1991.
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Lopushanskii, O.V. Nonuniform completions and hypocontinuity of multiplication in locally convex algebras. Sib Math J 32, 425–430 (1991). https://doi.org/10.1007/BF00970478
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DOI: https://doi.org/10.1007/BF00970478