On greedy approximation in complex Banach spaces
Copyright policy )On greedy approximation in complex Banach spaces
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.
- University of South Carolina United States
- University of South Carolina System United States
- Innopolis University Russian Federation
- Lomonosov Moscow State University Russian Federation
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, greedy approximation, Numerical Analysis (math.NA), greedy algorithm with weakness and relaxation, incremental algorithm, Functional Analysis (math.FA), Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Geometry and structure of normed linear spaces, complex Banach space, FOS: Mathematics, Mathematics - Numerical Analysis, weak greedy algorithm with free relaxation
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, greedy approximation, Numerical Analysis (math.NA), greedy algorithm with weakness and relaxation, incremental algorithm, Functional Analysis (math.FA), Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Geometry and structure of normed linear spaces, complex Banach space, FOS: Mathematics, Mathematics - Numerical Analysis, weak greedy algorithm with free relaxation
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