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Matematicheskie Zametki, 1977, Volume 21, Issue 4, Pages 539–550 (Mi mzm7983)  
The operator of minimal continuance of linear functionals

P. K. Belobrov

Rostov-on-Don Institute of National Economy
Full-text PDF (1037 kB) English version article
Abstract: In terms of weak differentiability of norms and algebraic complementation of subspaces, the single-valuedness of the Hahn–Banach continuation is characterized, as well as its linearity as an operator. The connection is established between this continuation and the best approximation by the annihilator of the given subspace.
Received: 06.09.1974
English version:
Mathematical Notes, 1977, Volume 21, Issue 4, Pages 301–306
DOI: https://doi.org/10.1007/BF01787655
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: P. K. Belobrov, “The operator of minimal continuance of linear functionals”, Mat. Zametki, 21:4 (1977), 539–550; Math. Notes, 21:4 (1977), 301–306
Citation in format AMSBIB
\Bibitem{Bel77}
\by P.~K.~Belobrov
\paper The operator of minimal continuance of linear functionals
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 4
\pages 539--550
\mathnet{http://mi.mathnet.ru/mzm7983}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=482096}
\zmath{https://zbmath.org/?q=an:0399.46005|0363.46026}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 4
\pages 301--306
\crossref{https://doi.org/10.1007/BF01787655}
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