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Matematicheskie Zametki, 1976, Volume 20, Issue 5, Pages 733–739 (Mi mzm7899)  
Extension of linear functionals in Banach spaces of measurable functions

M. Sh. Braverman, G. Ya. Lozanovskii
Full-text PDF (492 kB) (1)
Abstract: In this note the existence of an operator extending linear functionals from a subspace to the whole space is studied. It is shown that under certain conditions on the Banach lattice of measurable functions and on a suitable subspace, there exists a unique extension operator.
Received: 02.12.1974
English version:
Mathematical Notes, 1976, Volume 20, Issue 5, Pages 969–973
DOI: https://doi.org/10.1007/BF01146921
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: M. Sh. Braverman, G. Ya. Lozanovskii, “Extension of linear functionals in Banach spaces of measurable functions”, Mat. Zametki, 20:5 (1976), 733–739; Math. Notes, 20:5 (1976), 969–973
Citation in format AMSBIB
\Bibitem{BraLoz76}
\by M.~Sh.~Braverman, G.~Ya.~Lozanovskii
\paper Extension of linear functionals in Banach spaces of measurable functions
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 5
\pages 733--739
\mathnet{http://mi.mathnet.ru/mzm7899}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=458151}
\zmath{https://zbmath.org/?q=an:0349.46029}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 5
\pages 969--973
\crossref{https://doi.org/10.1007/BF01146921}
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    		Математические заметки Mathematical Notes
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