Geodesic
Approximation of Dual Spaces and Dual Operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2008), pp. 31-38

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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. 
@article{IVM_2008_10_a3,
     author = {N. B. Pleschinskii and {\CYRK}. Sh. Mu{\cyrl}hutdinov},
     title = {Approximation of {Dual} {Spaces} and {Dual} {Operators}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {31--38},
     publisher = {mathdoc},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_10_a3/}
}
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N. B. Pleschinskii; К. Sh. Muлhutdinov. Approximation of Dual Spaces and Dual Operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2008), pp. 31-38. http://geodesic.mathdoc.fr/item/IVM_2008_10_a3/