Estimates of best bilinear approximations of functions and approximation numbers of integral operators

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Greedy approximation (2008, background): “We mention some of the papers: Fredholm (1903), Weyl (1911), Hille and Tamarkin (1931), Smithies (1937), Birman and Solomyak (1977), Cochran (1977) and Temlyakov (1989b, 1990, 1992a, 1992b, 1993b).”
Zur Theorie der Niedrigrangapproximation in Tensorprodukten von Hilberträumen (2013, unknown): “Eine solche findet sich offenbar zuerst bei Miroshin u. Khromov [70], welche für g ∈ Hs([0,1]2) (s ganzzahlig) zeigen, dass inf f ∈C≤r,2 ‖ f −g‖0. r−s. Das Ergebnis wurde von Temlyakov [96, 99, 100] auf den periodischen Fall und m1,m2 ≥ 1 zu inf f ∈C≤r,2 ‖ f −g‖0 ∼ r−s/min(m1,m2) für g ∈ Bs2π, sowie”
Hyperbolic Cross Approximation (2016, background): “18 can be easily reduced to the volume estimate for an octahedron (see, for instance [353]).”
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces (2014, background): “The latter have been determined by Temlyakov in [44, 46, 47].”