Invariant metrics in groups (solution of a problem of Banach)
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- by V. L. Klee PDF
- Proc. Amer. Math. Soc. 3 (1952), 484-487 Request permission
References
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Stefan Banach, Théorie des opérations linéaires, Warsaw, 1932.
- Garrett Birkhoff, A note on topological groups, Compositio Math. 3 (1936), 427–430. MR 1556955 D. van Dantzig, Zur topologischen Algebra, I, Math. Ann. vol. 107 (1932) pp. 587-616.
- Jean Dieudonné, Sur la complétion des groupes topologiques, C. R. Acad. Sci. Paris 218 (1944), 774–776 (French). MR 14103
- Shizuo Kakutani, Über die Metrisation der topologischen Gruppen, Proc. Imp. Acad. Tokyo 12 (1936), no. 4, 82–84 (German). MR 1568424 —, Über ein Metrisationproblem, Proceedings of the Physico-Mathematical Society of Japan (III) vol. 20 (1938) pp. 85-90.
- G. G. Lorentz, Operations in linear metric spaces, Duke Math. J. 15 (1948), 755–761. MR 27123 S. Mazur and L. Sternbach, Über die Borelschen Typen von linearen Mengen, Studia Math. vol. 4 (1933) pp. 48-53. W. Sierpinski, Sur les ensembles complets d’un espace (D), Fund. Math. vol. 11 (1928) pp. 203-205.
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 484-487
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0047250-4
- MathSciNet review: 0047250