On approximation of dual spaces and dual operators

We study the connection between equations which approximate an 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 lin...

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Bibliographic Details
Published in:Russian mathematics 2008-10, Vol.52 (10), p.25-31
Main Authors: Mukhutdinov, R. Sh, Pleshchinskii, N. B.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We study the connection between equations which approximate an 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.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X08100046