Geodesic
Greedy approximation by arbitrary set
Izvestiya. Mathematics , Tome 84 (2020) no. 2, pp. 246-261

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We define various algorithms for greedy approximations by elements of an arbitrary set $M$ in a Banach space. We study the convergence of these algorithms in a Hilbert space under various geometric conditions on $M$. As a consequence, we obtain sufficient conditions for the additive semigroup generated by $M$ to be dense.
Keywords: greedy approximation, Hilbert space, density of a semigroup. 
@article{IM2_2020_84_2_a1,
     author = {P. A. Borodin},
     title = {Greedy approximation by arbitrary set},
     journal = {Izvestiya. Mathematics },
     pages = {246--261},
     publisher = {mathdoc},
     volume = {84},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2020_84_2_a1/}
}
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P. A. Borodin. Greedy approximation by arbitrary set. Izvestiya. Mathematics , Tome 84 (2020) no. 2, pp. 246-261. http://geodesic.mathdoc.fr/item/IM2_2020_84_2_a1/