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References
I. Aharoni, Every separable Banach space is Lipschitz equivalent to a subset of co, Israel J. Math. 19 (1974), 284–291.
I. Aharoni, Uniform embedding of Banach spaces, Israel J. Math. 27 (1977), 174–179.
I. Aharoni, J. Lindenstrauss, Uniform equivalence between Banach spaces, Bull. Amer. Math. Soc. 84 (1978), 281–283.
P. Enflo, Uniform structures and square roots in topological groups, II, Israel J. Math. 8 (1970), 253–272.
S. Heinrich, Ultrapowers of locally convex spaces and applications to the nonlinear classification (to appear).
S. Heinrich, C. W. Henson, Banach space model theory II (to appear).
S. Heinrich, P. Mankiewicz, Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces, Studia Math. 73 (1982), 49–75.
J. Lindenstrauss, On non-linear projections in Banach spaces, Michigan Math. J. 11 (1964), 268–287.
J. Lindenstrauss, Some aspects of the theory of Banach spaces, Advances in Math. 5 (1970), 159–180.
P. Mankiewicz, On the differentiability of Lipschitz mappings in Fréchet spaces, Studia Math. 45 (1973), 15–29.
P. Mankiewicz, On topological, Lipschitz, and uniform classification of LF-spaces, Studia. Math. 52 (1974), 109–142.
P. Mankiewicz, J. Vilimovski, A remark on uniform classification of boundedly compact linear topological spaces, Rocky Mountain J. Math. 10 (1980), 59–64.
M. Ribe, On uniformly homeomorphic normed spaces, Ark. Math. 14 (1976), 237–244.
M. Ribe, On uniformly homeomorphic normed spaces, II, Ark. Math. 16 (1978) 1–9.
L. Tzafriri, Some directions of research in Banach space theory, Functional Analysis: Surveys and recent results II, 1–18, North-Holland, 1980.
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© 1983 Springer-Verlag
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Heinrich, S., Mankiewicz, P. (1983). Some open problems in the nonlinear classification of Banach spaces. In: Pietsch, A., Popa, N., Singer, I. (eds) Banach Space Theory and its Applications. Lecture Notes in Mathematics, vol 991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061560
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DOI: https://doi.org/10.1007/BFb0061560
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