A family of extension operators
Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 215-219
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The definition of the degree of a family of extension operators is given. The connection of lower estimates with general properties is established. The problem of approximation of the segment $[0,1]$ by finite subsets is studied. In the class of homogeneous operators the independence of norms of operators from the degree of the family of extension operators is proved.
@article{MZM_1977_22_2_a5,
author = {V. V. Pospelov},
title = {A~family of extension operators},
journal = {Matemati\v{c}eskie zametki},
pages = {215--219},
year = {1977},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a5/}
}
V. V. Pospelov. A family of extension operators. Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 215-219. http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a5/