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This article is cited in 3 scientific papers (total in 3 papers)
On Bessel Systems in a Banach Space
P. A. Terekhin Saratov State University named after N. G. Chernyshevsky
Abstract:
We consider Bessel systems in a Banach space and study their operator and projective characteristics. Using an operator construction for the continuation of the system, we prove an analog of Schur's theorem on continuable systems.
Keywords:
Bessel system, Banach space, continuation of a Bessel system, linear operator, model space, Schur's theorem.
Received: 22.05.2009
Citation:
P. A. Terekhin, “On Bessel Systems in a Banach Space”, Mat. Zametki, 91:2 (2012), 285–296; Math. Notes, 91:2 (2012), 272–282
Linking options:
https://www.mathnet.ru/eng/mzm7697https://doi.org/10.4213/mzm7697 https://www.mathnet.ru/eng/mzm/v91/i2/p285
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Abstract page: | 534 | Full-text PDF : | 213 | References: | 53 | First page: | 28 |
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