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Matematicheskie Zametki, 1977, Volume 22, Issue 2, Pages 215–219 (Mi mzm8042)  
A family of extension operators

V. V. Pospelov

Keldysh Applied Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (395 kB)
Abstract: 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.
Received: 05.02.1974
English version:
Mathematical Notes, 1977, Volume 22, Issue 2, Pages 610–613
DOI: https://doi.org/10.1007/BF01780969
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. V. Pospelov, “A family of extension operators”, Mat. Zametki, 22:2 (1977), 215–219; Math. Notes, 22:2 (1977), 610–613
Citation in format AMSBIB
\Bibitem{Pos77}
\by V.~V.~Pospelov
\paper A~family of extension operators
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 2
\pages 215--219
\mathnet{http://mi.mathnet.ru/mzm8042}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=460985}
\zmath{https://zbmath.org/?q=an:0383.41017}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 2
\pages 610--613
\crossref{https://doi.org/10.1007/BF01780969}
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