Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
topological tensor product; associative law; non-locally convex space
topological tensor product; associative law; non-locally convex space
Summary:
References:
[1] Akmalov N.A.: Topologies in the tensor product of abelian groups (in Russian). Dokl. Akad. Nauk UzSSR (1980), 1 3-6. MR 0584817
[2] Bertram W., Glöckner H., Neeb K.-H.: Differential calculus over general base fields and rings. Exp. Math. 22 (2004), 213-282. MR 2069671 | Zbl 1099.58006
[3] Bourbaki N.: Topological Vector Spaces, Chapters 1-5. Springer, Berlin, 1987. MR 0910295 | Zbl 1106.46003
[4] Cohn P.M.: Algebra, Vol. II. 2nd Ed., John Wiley, Chichester, 1989. MR 1006872
[5] Despland J.C.: Produit tensoriels de deux éspaces de Banach. Rev. Roumaine Math. Pures Appl. 27 (1982), 25-32. MR 0658862
[6] Garling D.J.H.: Tensor products of topological Abelian groups. J. Reine Angew. Math. 223 (1966), 164-182. MR 0199305 | Zbl 0145.03401
[7] Iyahen S.O.: On certain classes of linear topological spaces II. J. London Math. Soc. 3 (1971), 609-617. MR 0287272 | Zbl 0215.19402
[8] Grothendieck A.: Produit tensoriels topologiques et éspaces nucléaires. Mem. Amer. Math. Soc. 1955 (1955), no. 16, 140 pp. MR 0075539
[9] Hofmann K.H.: Tensorprodukte lokal kompakter topologischer Gruppen. J. Reine Angew. Math. 216 (1964), 134-149. MR 0167562
[10] Hollstein R.: Über die Metrisierbarkeit von projektiven Tensorprodukten. Manuscripta Math. 9 (1973), 201-209. MR 0328529 | Zbl 0253.46131
[11] Loth P.: Topologically pure extensions. pp.191-201 in: ``Abelian Groups, Rings and Modules'' (Perth, 2000), Contemp. Math. 273, AMS, Providence, 2001. MR 1817162 | Zbl 0980.22007
[12] Sahleh H.: Tensor product of abelian topological groups and $2$nd nilpotent. Int. Math. J. 2 (2002), 11 1081-1087. MR 1930752
[13] Turpin Ph.: Sur certains produits tensoriels topologiques. C.R. Acad. Sci. Paris, Sér. A 291 (1980), 405-407. MR 0596084 | Zbl 0461.46050
[14] Turpin Ph.: Produits tensoriels d'espaces vectoriels topologiques. Bull. Soc. Math. Fr. 110 (1982), 3-13. MR 0662126 | Zbl 0494.46061
[15] Tomášek S.: On tensor products of Abelian groups. Comment. Math. Univ. Carolinae 6 (1965), 73-83. MR 0180839
[16] Tomášek S.: Some remarks on tensor products. ibid. 6 (1965), 85-96. MR 0180840
[17] Waelbroeck L.: The tensor product of a locally pseudo-convex and a nuclear space. Studia Math. 38 (1970), 101-104. MR 0275111 | Zbl 0206.13201
Search
Partner of
