Geodesic
Block frames in the $\ell^2$ space
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 38-45

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$\varepsilon$-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. 
@article{VSGU_2011_2_a3,
     author = {M. A. Lihobabenko},
     title = {Block frames in the  $\ell^2$  space},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {38--45},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a3/}
}
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M. A. Lihobabenko. Block frames in the  $\ell^2$  space. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 38-45. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a3/