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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 2, Pages 24–30
(Mi vmj9)
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This article is cited in 2 scientific papers (total in 2 papers)
On the right inverse operators which are defined by Eidelheit sequences
O. A. Ivanova, S. N. Melikhov Southern Federal University
Abstract:
In this article we prove criterion and separately sufficient conditions under which the operator which is defined by Eidelheit sequence has or has not continuous linear right inverse. Also we apply the obtained results for solution of the problem of topologically complementability of ideals in algebras of holomorphic functions.
Key words:
Eidelheit sequence, right inverse operator, ideals in algebras of holomorphic functions.
Received: 09.07.2009
Citation:
O. A. Ivanova, S. N. Melikhov, “On the right inverse operators which are defined by Eidelheit sequences”, Vladikavkaz. Mat. Zh., 12:2 (2010), 24–30
Linking options:
https://www.mathnet.ru/eng/vmj9 https://www.mathnet.ru/eng/vmj/v12/i2/p24
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Abstract page: | 413 | Full-text PDF : | 132 | References: | 68 | First page: | 1 |
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