Inductive limits of normed algebras

Inductive limits of normed algebras
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by Seth Warner

Trans. Amer. Math. Soc. 82 (1956), 190-216

DOI: https://doi.org/10.1090/S0002-9947-1956-0079226-3

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References

Richard Arens, Duality in linear spaces, Duke Math. J. 14 (1947), 787–794. MR 22651
Richard Arens, A generalization of normed rings, Pacific J. Math. 2 (1952), 455–471. MR 51445

Algèbre

Topologie générale

Espaces vectoriels topologiques

Intégration

Nicolas Bourbaki, Sur certains espaces vectoriels topologiques, Ann. Inst. Fourier (Grenoble) 2 (1950), 5–16 (1951) (French). MR 42609
William F. Donoghue Jr. and Kennan T. Smith, On the symmetry and bounded closure of locally convex spaces, Trans. Amer. Math. Soc. 73 (1952), 321–344. MR 49478, DOI 10.1090/S0002-9947-1952-0049478-0
Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45–99. MR 26239, DOI 10.1090/S0002-9947-1948-0026239-9
M. Katětov, Measures in fully normal spaces, Fund. Math. 38 (1951), 73–84. MR 48531, DOI 10.4064/fm-38-1-73-84
George W. Mackey, Equivalence of a problem in measure theory to a problem in the theory of vector lattices, Bull. Amer. Math. Soc. 50 (1944), 719–722. MR 10782, DOI 10.1090/S0002-9904-1944-08220-7
George W. Mackey, On convex topological linear spaces, Trans. Amer. Math. Soc. 60 (1946), 519–537. MR 20214, DOI 10.1090/S0002-9947-1946-0020214-4
Ernest A. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952), 79. MR 51444
Leopoldo Nachbin, Topological vector spaces of continuous functions, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 471–474. MR 63647, DOI 10.1073/pnas.40.6.471
Jun-iti Nagata, On topological completeness, J. Math. Soc. Japan 2 (1950), 44–47. MR 39986, DOI 10.2969/jmsj/00210044

Théorie des distributions

J. C. Shepherdson, Inner models for set theory. II, J. Symbolic Logic 17 (1952), 225–237. MR 53885, DOI 10.2307/2266609
Taira Shirota, A class of topological spaces, Osaka Math. J. 4 (1952), 23–40. MR 50872
Taira Shirota, On locally convex vector spaces of continuous functions, Proc. Japan Acad. 30 (1954), 294–298. MR 64389
A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977–982. MR 26802, DOI 10.1090/S0002-9904-1948-09118-2

Zur Masstheorie in der allgemeinen Mengenlehre

Seth Warner, Polynomial completeness in locally multiplicatively-convex algebras, Duke Math. J. 23 (1956), 1–11. MR 73947
Seth Warner, Weak locally multiplicatively-convex algebras, Pacific J. Math. 5 (1955), 1025–1032. MR 76295
J. H. Williamson, On topologising the field $C(t)$, Proc. Amer. Math. Soc. 5 (1954), 729–734. MR 63574, DOI 10.1090/S0002-9939-1954-0063574-0