Geodesic
On greedy approximation in complex Banach spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 6, pp. 975-990

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The general theory of greedy approximation with respect to arbitrary dictionaries is well developed in the case of real Banach spaces. Recently some results proved for the Weak Chebyshev Greedy Algorithm (WCGA) in the case of real Banach spaces were extended to the case of complex Banach spaces. In this paper we extend some of the results known in the real case for greedy algorithms other than the WCGA to the case of complex Banach spaces. Bibliography: 25 titles.
Keywords: complex Banach space, greedy approximation, weak greedy algorithm with free relaxation, greedy algorithm with weakness and relaxation
Mots-clés : incremental algorithm. 
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     author = {A. V. Gasnikov and V. N. Temlyakov},
     title = {On greedy approximation in complex {Banach} spaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     url = {http://geodesic.mathdoc.fr/item/RM_2024_79_6_a2/}
}
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A. V. Gasnikov; V. N. Temlyakov. On greedy approximation in complex Banach spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 6, pp. 975-990. http://geodesic.mathdoc.fr/item/RM_2024_79_6_a2/