A Functional Characterization of Almost Greedy and Partially Greedy Bases in Banach Spaces

Mathematics

卷:9

Diego Mondéjar¹  Pablo Manuel Berná¹ 

[1] Departamento de Matemática Aplicada y Estadística, Facultad de Ciencias Económicas y Empresariales, Universidad San Pablo-CEU, CEU Universities, 28003 Madrid, Spain;

关键词: greedy algorithm;    nonlinear approximation;    bases;    Banach spaces;   

DOI  :  10.3390/math9151827

来源: DOAJ

【 摘 要 】

In 2003, S. J. Dilworth, N. J. Kalton, D. Kutzarova and V. N. Temlyakov introduced the notion of almost greedy (respectively partially greedy) bases. These bases were characterized in terms of quasi-greediness and democracy (respectively conservativeness). In this paper, we show a new functional characterization of these type of bases in general Banach spaces following the spirit of the characterization of greediness proved in 2017 by P. M. Berná and Ó. Blasco.

【 授权许可】

Unknown