Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces
Compositio Mathematica, Tome 62 (1987) no. 3, pp. 263-282.
@article{CM_1987__62_3_263_0,
     author = {Gromov, M. and Milman, V. D.},
     title = {Generalization of the spherical isoperimetric inequality to uniformly convex {Banach} spaces},
     journal = {Compositio Mathematica},
     pages = {263--282},
     publisher = {Martinus Nijhoff Publishers},
     volume = {62},
     number = {3},
     year = {1987},
     mrnumber = {901393},
     zbl = {0623.46007},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1987__62_3_263_0/}
}
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Gromov, M.; Milman, V. D. Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. Compositio Mathematica, Tome 62 (1987) no. 3, pp. 263-282. http://archive.numdam.org/item/CM_1987__62_3_263_0/

[AM] D. Amir and V.D. Milman: A quantitative finite-dimensional Krivine Theorem, Israel J. Math. (1985) to appear. | MR | Zbl

[GM1] M. Gromov and V.D. Milman: A topological application of the isoperimetric inequality. Amer. J. Math. 105 (1983) 843-854. | MR | Zbl

[GM2] M. Gromov and V.D. Milman: Brunn Theorem and a concentration of volume phenomena for symmetric convex bodies. Geometric Aspects of Functional Analysis, Seminar Notes, Tel Aviv (1983-1984). | MR | Zbl

[H] H. Hadwiger: Vorlesungen Über Inhalt: Oberfläche und Isoperimetrie, Springer-Verlag (1957). | MR | Zbl

[P] G. Pisier: Remarques sur un Résultat non publié de B. Maurey, Séminaire d'Analyse Fonctionnelle (1980- 1981) Exp. V. | Numdam | MR | Zbl

[S] J.J. Schäffer: Inner diameter, perimeter, and girth of spheres. Math. Ann. 173 (1967) 59-82. | MR | Zbl

[R] V.A. Rohlin: On the fundamental ideas of measure theory. Mat. Sbornic, N.S. 25 (67), (1949), 107-150 (Russian). (Amer. Math. Soc. Translation 71, 55pp., (1952)).

[BZ] Y.D. Burago and V.A. Zalgaler: Geometrical Inequalities. Leningrad, " Nauka" (1980). | Zbl