Geodesic
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},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a5/}
}
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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/