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Enflo, P.

Uniform structures and square roots in topological groups. II. (English) Zbl 0214.28501

Isr. J. Math. 8, 253-272 (1970).
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Cited in 2 Reviews
Cited in 22 Documents

MSC:

22A99 Topological and differentiable algebraic systems

Citations:

Zbl 0214.28402
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Full Text: DOI

References:

[1] P. Enflo,Topological groups in which multiplication on one side is differentiable or linear (to appear in Math. Scand.). · Zbl 0205.32801
[2] P. Enflo,On the non-existence of uniform homeomorphisms between L_p-spaces (to appear in Ark. Mat.). · Zbl 0196.14002
[3] P. Enflo,On a problem of Smirnov (to appear in Ark. Mat.). · Zbl 0196.14003
[4] Segal, I. E., Topological groups in which multiplication on one side is differentiable, Bull. Amer. Math. Soc., 52, 481-487 (1946) · Zbl 0061.04411 · doi:10.1090/S0002-9904-1946-08597-3
[5] Birkhoff, G., Analytical groups, Trans. Amer. Math. Soc., 43, 61-101 (1938) · Zbl 0018.20502 · doi:10.2307/1989902
[6] Bessaga, C., On topological classification of linear metric spaces, Fund. Math., 56, 251-288 (1965) · Zbl 0138.37404
[7] Lindenstrauss, J., On non-linear projections in Banach spaces, Michigan Math. J., 11, 263-287 (1964) · Zbl 0195.42803 · doi:10.1307/mmj/1028999141
[8] J. Kelley,General Topology, van Nostrand, 1955. · Zbl 0066.16604
[9] D. Montgomery and L. Zippin, Topological Transformation Groups, New York, 1955. · Zbl 0068.01904
[10] Tondeur, P., Zur Frage der Überdeckbarkeit einer Lieschen Gruppe durch ihre einparametrigen Untergruppen, Math. Ann., 147, 373-377 (1962) · Zbl 0111.03301 · doi:10.1007/BF01452422
[11] Malcev, A., Sur les groupes topologiques locaux et complets, C. R. (Doklady) Acad. Sci., URSS (N.S.), 32, 606-608 (1941) · Zbl 0063.03727
[12] Averbukh, V. I.; Smolyanov, O. G., Theory of differentiation in linear topological spaces, Russian Math. Surveys, 22, 201-258 (1967) · Zbl 0312.46054 · doi:10.1070/RM1967v022n06ABEH003761
[13] J. Dieudonné,Foundations of Modern Analysis, New York, 1960. · Zbl 0100.04201
[14] Kadec, M. I., A proof of the topological equivalence of all separable infinite-dimensional Banach spaces, Funkcional. Anal. i Priloäen., 7, 61-70 (1967) · Zbl 0166.10603
[15] Mazur, S., Une remarque sur l’homeomorphie des champs fonctionnels, Studia Math., 1, 83-85 (1929) · JFM 55.0242.01
[16] Henkin, G. M., Das Fehlen eines gleichmassigen Homömorphismus zwischen räumlichen glatten Funktionen von einer und von n Veränderlichen (n ≧ 2), Mat. Sb. N. S., 74, 116, 595-607 (1967) · Zbl 0155.18501
[17] Dvoretzky, A., A characterization of Banach spaces isomorphic to inner product spaces, 61-66 (1967), Copenhagen: Kobenhavns Univ. Mat. Inst., Copenhagen · Zbl 0145.38001
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