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This article is cited in 9 scientific papers (total in 9 papers)
On the basicity of derived chains
G. V. Radzievskii
Abstract:
We introduce the definition of a derived chain, which generalizes the corresponding concept introduced by M. V. Keldysh and which corresponds, for example, to problems more general than the Cauchy problem. It is shown that subspaces consisting of derived chains form a Riesz basis. The class of derived chains considered includes those which correspond to certain boundary value problems on an infinite interval with the condition of convergence to zero of a vector-valued function, that depends on $t$, as $t\to\infty$. The operator-valued functions with respect to whose root vectors the derived chains are formed are similar to the Keldysh operator bundles.
Bibliography: 20 titles.
Received: 11.03.1974
Citation:
G. V. Radzievskii, “On the basicity of derived chains”, Math. USSR-Izv., 9:5 (1975), 1119–1154
Linking options:
https://www.mathnet.ru/eng/im2085https://doi.org/10.1070/IM1975v009n05ABEH001510 https://www.mathnet.ru/eng/im/v39/i5/p1182
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