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This article is cited in 4 scientific papers (total in 4 papers)
Weight-almost greedy bases
S. J. Dilwortha, D. Kutzarovabc, V. N. Temlyakovade, B. Wallisf a Department of Mathematics, University of South Carolina, 1523 Greene St., Columbia, SC 29208, USA
b Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green St., Urbana, IL 61801, USA
c Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. Georgi Bonchev St., Sofia, 1113, Bulgaria
d Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
e Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
f Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115-2888, USA
Abstract:
We introduce the notion of a weight-almost greedy basis and show that a basis for a real Banach space is $w$-almost greedy if and only if it is both quasi-greedy and $w$-democratic. We also introduce the notion of a weight-semi-greedy basis and show that a $w$-almost greedy basis is $w$-semi-greedy and that the converse holds if the Banach space has finite cotype.
Received: February 28, 2018
Citation:
S. J. Dilworth, D. Kutzarova, V. N. Temlyakov, B. Wallis, “Weight-almost greedy bases”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 120–141; Proc. Steklov Inst. Math., 303 (2018), 109–128
Linking options:
https://www.mathnet.ru/eng/tm3956https://doi.org/10.1134/S0371968518040106 https://www.mathnet.ru/eng/tm/v303/p120
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Abstract page: | 204 | Full-text PDF : | 37 | References: | 29 | First page: | 11 |
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