Geodesic
Isomorphically Polyhedral Banach Spaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 1, pp. 108-113 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove two theorems giving sufficient conditions for a Banach space to be isomorphically polyhedral. 
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V. P. Fonf; A. J. Pallarés; S. Troyanski. Isomorphically Polyhedral Banach Spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 1, pp. 108-113. http://geodesic.mathdoc.fr/item/JMAG_2013_9_1_a7/

[1] R. Deville, V. Fonf, P. Hajek, “Analytic and Polyhedral Approximation of Convex Bodies in Separable Polyhedral Banach Spaces”, Israel J. Math., 105 (1998), 139–154 | DOI | MR | Zbl

[2] Funct. Anal. Appl., 14 (1980), 323–324 | DOI | MR | Zbl

[3] Ukr. Math. J., 42:9 (1990), 1145–1148 | DOI | MR | Zbl

[4] Math. Notes, 30:9 (1981), 809–813 | DOI | MR | Zbl

[5] V. P. Fonf, A. J. Pallares, R. Smith, S. Troyanski, Polyhedrality in Pieces, Preprint

[6] Math. Notes, 20:3/4 (1977), 737–739 | DOI | MR | MR | Zbl | Zbl

[7] V. Klee, “Polyhedral Sections of Convex Bodies”, Acta Math., 103 (1960), 243–267 | DOI | MR | Zbl

[8] J. Lindenstrauss, “Notes on Klee's paper “Polyhedral sections of convex bodies””, Israel J. Math., 4:1966 (4), 235–242 | MR | Zbl

[9] J. Lindenstrauss, R. Phelps, “Extreme Point Properties of Convex Bodies in Reflexive Banach Spaces”, Israel J. Math., 6 (1968), 39–48 | DOI | MR | Zbl