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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On stability of bases in Hilbert spaces
E. A. Larionov Department of Applied Mathematics,
Moscow State University of Civil Engineering,
26 Yaroslavskoe shosse,
Moscow, 129337, Russian Federation
Аннотация:
In a Hilbert space we consider a minimal and complete system asymptotically close to an almost normed unconditional basis and find conditions under which such system also forms an unconditional basis. The proof of this statement is based on a new criterion of compactness of linear operators proposed in this paper.
Ключевые слова и фразы:
perturbation, compact operator, orthoprojector, isotropically non-compact sequence.
Поступила в редакцию: 29.06.2019
Образец цитирования:
E. A. Larionov, “On stability of bases in Hilbert spaces”, Eurasian Math. J., 11:2 (2020), 65–71
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj366 https://www.mathnet.ru/rus/emj/v11/i2/p65
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