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Approximations on families of Banach spaces and solvability of linear equations. (English. Russian original) Zbl 0264.41024

Sov. Math., Dokl. 12(197), 1832-1836 (1972); translation from Dokl. Akad. Nauk SSSR 201, 1288-1291 (1971).

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
46B99 Normed linear spaces and Banach spaces; Banach lattices
46E15 Banach spaces of continuous, differentiable or analytic functions
47A50 Equations and inequalities involving linear operators, with vector unknowns
34A45 Theoretical approximation of solutions to ordinary differential equations
35A35 Theoretical approximation in context of PDEs
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