Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms

Albiac and Wojtaszczyk introduced property (A) to characterize 1-greedy bases. Later, Dilworth et al. generalized the concept to C-Property (A), where the case C=1 gives property (A). They (among other results) characterized greedy bases by unconditionality and C-property (A). In this paper, we exte...

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Bibliographic Details
Published in:Journal of approximation theory Vol. 285; p. 105831
Main Author: Chu, Hùng Việt
Format: Journal Article
Language:English
Published: Elsevier Inc 01.01.2023
Subjects:
Almost greedy
Greedy
Partially greedy
Property (A)
46B15
Partially greedy
Greedy
Property (A)
41A65
Almost greedy
ISSN:0021-9045, 1096-0430
Online Access:Get full text
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Summary:Albiac and Wojtaszczyk introduced property (A) to characterize 1-greedy bases. Later, Dilworth et al. generalized the concept to C-Property (A), where the case C=1 gives property (A). They (among other results) characterized greedy bases by unconditionality and C-property (A). In this paper, we extend the definition of the so-called A-property constant to (A, τ)-property constants and use the extension to obtain new estimates for various Lebesgue parameters. Furthermore, we study the relation among (A, τ)-property constants and other well-known constants when τ varies.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2022.105831