Geodesic
On an infinite-dimensional generalization of the Brouwer Fixed-Point Theorem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 14-17 
E. A. Mirzakhanyan. On an infinite-dimensional generalization of the Brouwer Fixed-Point Theorem. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 14-17. http://geodesic.mathdoc.fr/item/UZERU_1987_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper we prove some properties of the continuous mappings $f:B\rightarrow -H$ of the closed unit ball $B$ of the real separable Hilbert space $H$ belonging to special $K_0$ class. The definition and the basic properties of the class $K_0$ have been given in [1].

[1] V. G. Boltyanskii, E. A. Mirzakhanyan, “Postroenie stepeni otobrazheniya v gilbertovom prostranstve”, Izv. AN Arm.SSR. Ser. matem., 9:5 (1974), 374–386 | MR | Zbl

[2] K. Borsuk, Teoriya rektraktov, Mir, M., 1971 | MR

[3] E. A. Mirzakhanyan, “Postroenie beskonechnomernykh gomotopicheskikh grupp”, Izv. AN Arm. SSR, ser. matem., 8:3 (1973), 212–225 | MR | Zbl

[4] E. A. Mirzakhanyan, “Vychislenie beskonechnomernykh gomotopicheskikh grupp kompaktnogo tipa edinichnoi sfery gilbertova prostranstva”, Izv. AN Arm. SSR, ser. matemat., X:2 (1975) | Zbl

[5] E. A. Mirzakhanyan, “O nekotorykh svoistvakh beskonechnomernykh gomotopicheskikh grupp podmnozhestv gilbertova prostranstva”, DAN ArmSSR, 79:1 (1984), 15–17 | MR | Zbl

[6] E. A. Mirzakhanyan, “O nekotorykh svoistvakh nepreryvno differentsiruemykh otobrazhenii podmnozhestv gilbertova prostranstva”, Uch. zap. EGU, 1986, no. 1 | MR