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References
Klee V., “Some new results on smoothness and rotundity in normed linear spaces,” Math. Ann. (2),159, 51–63 (1959).
Schwarz T. andZamfirescu T. “Typical sets of convex sets,” J. Austral. Math. Soc. Ser. A,43, 287–290 (1987).
Blaschke W., Kreis und Kugel [Russian translation], Nauka, Moscow (1976).
Rudin W., Functional Analysis [Russian translation], Mir, Moscow (1975).
Lindenstrauss J. andPhelps R., “Extreme point properties of convex bodies in reflexive Banach spaces,” Israel. J. Math.,13, No. 6, 39–48 (1968).
Bronshteîn E. M., “On convex cones with Schwarz-Zamfirescu property,” Funktsional. Anal. i Prilozhen.,32, No. 3, 57–59 (1998).
Kuz'minykh A. V., “The structure of typical compact sets in Euclidean space,” Sibirsk. Mat. Zh.,38, No. 2, 344–350 (1997).
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Ufa. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 1, pp. 15–22, January–February, 2000.
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Bronshteîn, E.M. Typical convex sets. Sib Math J 41, 13–18 (2000). https://doi.org/10.1007/BF02673992
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DOI: https://doi.org/10.1007/BF02673992