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The Thresholding Greedy Algorithm, Greedy Bases, and Duality |
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| Authors: | SJ Dilworth NJ Kalton Denka Kutzarova and VN Temlyakov |
| Institution: | (1) Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA;(2) Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, USA;(3) Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria and Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;(4) Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA |
| Abstract: | Some new conditions that arise naturally in the study of the Thresholding Greedy Algorithm are introduced for bases of Banach spaces. We relate these conditions to best n-term approximation and we study their duality theory. In particular, we obtain a complete duality theory for greedy bases. |
| Keywords: | Greedy approximation Greedy bases Thresholding Duality |
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