Comments on open homomorphisms

Comments on open homomorphisms
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by B. J. Pettis

Proc. Amer. Math. Soc. 8 (1957), 583-586

DOI: https://doi.org/10.1090/S0002-9939-1957-0087898-9

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References

Richard Arens, Duality in linear spaces, Duke Math. J. 14 (1947), 787–794. MR 22651

Über metrische Gruppen

Éléments de mathématique

J. Dieudonné, La dualité dans les espaces vectoriels topologiques, Ann. Sci. École Norm. Sup. (3) 59 (1942), 107–139 (French). MR 0011532
J. Dieudonné, Natural homomorphisms in Banach spaces, Proc. Amer. Math. Soc. 1 (1950), 54–59. MR 33973, DOI 10.1090/S0002-9939-1950-0033973-8

Mengenlehre

V. L. Klee Jr., Convex sets in linear spaces, Duke Math. J. 18 (1951), 443–466. MR 44014
V. L. Klee Jr., Invariant extension of linear functionals, Pacific J. Math. 4 (1954), 37–46. MR 60143
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

Über konvexe Mengen in linearen normierten Räumen

E. J. McShane, Images of sets satisfying the conditions of Baire, Ann. of Math. (2) 51 (1950), 380–386. MR 39241, DOI 10.2307/1969330
M. E. Munroe, Homomorphisms on Banach spaces, Bull. Amer. Math. Soc. 54 (1948), 776–781. MR 26245, DOI 10.1090/S0002-9904-1948-09079-6
B. J. Pettis, On continuity and openness of homomorphisms in topological groups, Ann. of Math. (2) 52 (1950), 293–308. MR 38358, DOI 10.2307/1969471
V. Šmulian, Über lineare topologische Räume, Rec. Math. [Mat. Sbornik] N.S. 7 (49) (1940), 425–448 (German, with Russian summary). MR 0002703
John V. Wehausen, Transformations in linear topological spaces, Duke Math. J. 4 (1938), no. 1, 157–169. MR 1546041, DOI 10.1215/S0012-7094-38-00412-0