@article{SM_1995_83_2_a7,
author = {I. G. Tsar'kov},
title = {Smoothing of abstract functions},
journal = {Sbornik. Mathematics},
pages = {405--430},
year = {1995},
volume = {83},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_83_2_a7/}
}
I. G. Tsar'kov. Smoothing of abstract functions. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 405-430. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a7/
[1] Nemirovskii A. S., Semenov S. M., “O polinomialnoi approksimatsii na gilbertovom prostranstve”, Matem. sb., 92(134) (1973), 257–281 | MR | Zbl
[2] Timan A. F., “Deformatsiya metricheskikh prostranstv i nekotorye svyazannye s nei voprosy teorii funktsii”, UMN, 20:2 (1965), 53–88 | MR
[3] Tsarkov I. G., “Poperechniki i neravenstvo tipa Dzheksona dlya abstraktnykh funktsii”, Tr. MIRAN, 198, Nauka, M., 1992, 219–231 | MR | Zbl
[4] Kadets M. I., “O topologicheskoi ekvivalentnosti ravnomerno vypuklykh prostranstv”, UMN, 10:4 (1955), 137–141 | MR | Zbl
[5] Tsarkov I. G., “O globalnom suschestvovanii neyavnoi funktsii”, Matem. sb., 184:7 (1993), 79–116 | MR | Zbl
[6] Vlasov L. P., “Approksimativnye svoistva mnozhestv v lineinykh normirovannykh prostranstvakh”, UMN, 28:6 (1973), 3–66 | MR | Zbl
[7] Valentine F. A., “A Lipschitz condition preserving extension for a vector function”, Amer. J. Math., 67:1 (1945), 83–93 | DOI | MR | Zbl
[8] Konyagin S. V., Tsarkov I. G., “O sglazhivanii otobrazhenii v normirovannykh prostranstvakh”, UMN, 43:4 (1988), 205–206 | MR
[9] Distel D., Geometriya banakhovykh prostranstv, Vischa shkola, Kiev, 1980 | MR
[10] Dzyadyk V. K., Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami, Nauka, M., 1977 | MR | Zbl
[11] Czipszer J., Geher L., “Extension of functions satisfying a Lipschitz condition”, Acta Math. Acad. Sc. Hung., 6:1–2 (1955), 213–220 | DOI | MR | Zbl