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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 10, Pages 31–38 (Mi ivm1759)  

This article is cited in 1 scientific paper (total in 1 paper)

Approximation of Dual Spaces and Dual Operators

N. B. Pleschinskiia, Ê. Sh. Muëhutdinovb

a Kazan State University
b Department of Applied Mathematical Physics, Chebotaryov Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (193 kB) Citations (1)
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Abstract: We study the connection between equations which approximate the initial abstract linear equation and the adjoint one. We prove that the operator which is adjoint to the approximating one approximates the adjoint operator. As examples we consider adjoint linear integral equations and mutually dual linear programming problems.
Keywords: dual space, dual operator, approximation, linear programming, Fredholm integral equations.
Received: 31.10.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 10, Pages 25–31
DOI: https://doi.org/10.3103/S1066369X08100046
Bibliographic databases:
UDC: 517.988
Language: Russian
Citation: N. B. Pleschinskii, Ê. Sh. Muëhutdinov, “Approximation of Dual Spaces and Dual Operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 10, 31–38; Russian Math. (Iz. VUZ), 52:10 (2008), 25–31
Citation in format AMSBIB
\Bibitem{PleMuë08}
\by N.~B.~Pleschinskii, Ê.~Sh.~Muëhutdinov
\paper Approximation of Dual Spaces and Dual Operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 10
\pages 31--38
\mathnet{http://mi.mathnet.ru/ivm1759}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2528919}
\zmath{https://zbmath.org/?q=an:05621391}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 10
\pages 25--31
\crossref{https://doi.org/10.3103/S1066369X08100046}
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    Èçâåñòèÿ âûñøèõ ó÷åáíûõ çàâåäåíèé. Ìàòåìàòèêà Russian Mathematics (Izvestiya VUZ. Matematika)
     
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