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.