Email this article On bases for direct decomposition
- Authors: Bilalov B.T.1, Gasymov T.B.1
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Affiliations:
- Institute of Mathematics and Mechanics
- Issue: Vol 93, No 2 (2016)
- Pages: 183-185
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/223511
- DOI: https://doi.org/10.1134/S1064562416020162
- ID: 223511
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Abstract
A method for constructing a basis for a Banach space from bases for its subspaces is proposed. The case of isomorphic subspace bases and the case when no corresponding isomorphisms are required are considered separately. The completeness, minimality, uniform minimality, and basis property with parentheses of the corresponding systems are studied. This approach has wide applications in the spectral theory of discontinuous differential operators.
About the authors
B. T. Bilalov
Institute of Mathematics and Mechanics
Author for correspondence.
Email: b_bilalov@mail.ru
Azerbaijan, ul. B. Vagabzade 9, Baku, AZ1141
T. B. Gasymov
Institute of Mathematics and Mechanics
Email: b_bilalov@mail.ru
Azerbaijan, ul. B. Vagabzade 9, Baku, AZ1141
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