A family of extension operators

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.Translated from Matematicheskie Zametki, Vol. 22, No. 2, pp. 215–219, August, 1977.