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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 10, Pages 31–38
(Mi ivm1759)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm1759 https://www.mathnet.ru/eng/ivm/y2008/i10/p31
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