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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 2(83), Pages 38–45
(Mi vsgu46)
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Mathematics
Block frames in the $\ell^2$ space
M. A. Lihobabenko
Dept. of Theory of Functions and Functional Analysis,
Samara State University, Samara, 443011, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
$\varepsilon$-nearly Parceval–Steklov infinite frames in the space $l^2_N(\mathbb{R})$ with prescribed norms are considered. This paper proposes block construction of frames in the space $\ell^2$.
Keywords:
$\varepsilon$-nearly Parceval–Steklov frames, trace of operator, block-diagonal matrix, block frame.
Received: 10.03.2011
Revised: 10.03.2011
Citation:
M. A. Lihobabenko, “Block frames in the $\ell^2$ space”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 2(83), 38–45
Linking options:
https://www.mathnet.ru/eng/vsgu46 https://www.mathnet.ru/eng/vsgu/y2011/i2/p38
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| Statistics & downloads: |
| Abstract page: | 119 | | Full-text PDF : | 65 | | References: | 37 | | First page: | 1 |
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